{"id":65936,"date":"2023-10-30T12:12:24","date_gmt":"2023-10-30T06:42:24","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=65936"},"modified":"2025-11-25T18:53:38","modified_gmt":"2025-11-25T13:23:38","slug":"ratio-proportion-tips-along-with-practice-questions-solutions-for-bank-exams","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/ratio-proportion-tips-along-with-practice-questions-solutions-for-bank-exams\/","title":{"rendered":"Ratio &amp; Proportion Tips along with Practice Questions &amp; Solutions for Bank Exams"},"content":{"rendered":"\n<p>Major banking exams including SBI PO &amp; RBI Assistant Prelims are on its way and many aspirants find quant a difficult section to prepare. To make your quant preparation easy we are providing a few tips and practice questions along with solutions for all important topics. This blog talks about Ratio &amp; Proportion Tips along with Practice Questions &amp; Solutions for Bank Exams. These practice questions are for prelims exams and are combined with solutions so as to have a better understanding by all the aspirants preparing for the upcoming exams including <a href=\"https:\/\/www.practicemock.com\/sbi-po\/?ref=9574\">SBI PO prelims<\/a> and RBI Assistant prelims. Mentioned below are a few tips and tricks as to how to go about solving ratio and proportion questions followed by their solutions.<\/p>\n\n\n\n<p><a href=\"https:\/\/www.practicemock.com\/sbi-po\/?ref=9574\">SBI PO Prelims Free Mock Test 2023<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">and Proportion Tips<\/h3>\n\n\n\n<p>1.&nbsp; Ratio: The ratio of two quantities \u2018a\u2019 and \u2018b\u2019, in the same units, is the fraction (a\/b) and we write it as a:b.<\/p>\n\n\n\n<p>2. Proportion: The equality of two ratios is called proportion.<\/p>\n\n\n\n<p>If a:b = c:d, we write, a:b::c:d and we say that \u2018a\u2019, \u2018b\u2019, \u2018c\u2019, \u2018d\u2019 are in proportion. Here \u2018a\u2019 and \u2018d\u2019 are called extremes, while \u2018b\u2019 and \u2018c\u2019 are called mean terms. Also, Product of means = Product of extremes.<\/p>\n\n\n\n<p>Thus, a:b::c:d = (b \u00d7 c) = (a \u00d7 d)<\/p>\n\n\n\n<p>3. Third Proportional: If a:b = b:c, then \u2018c\u2019 is called the third proportional to \u2018a\u2019 and \u2018b\u2019.<\/p>\n\n\n\n<p>4. Fourth Proportional: If a:b = c:d, then \u2018d\u2019 is called the fourth proportional to \u2018a\u2019, \u2018b\u2019 and \u2018c\u2019.<\/p>\n\n\n\n<p>5. Mean Proportional: Mean proportional between \u2018a\u2019 and \u2018b\u2019 is \u221aab.<\/p>\n\n\n\n<p>6. If a &gt; b and \u2018x\u2019 is a positive quantity, then (a\/b) &gt; {(a + x)\/(b + x)} and (a\/b) &lt; {(a \u2013 x)\/(b \u2013 x)}<\/p>\n\n\n\n<p>7. If a &lt; b and \u2018x\u2019 is a positive quantity, then (a\/b) &lt; {(a + x)\/(b + x)} and (a\/b) &gt; {(a \u2013 x)\/(b \u2013 x)}<\/p>\n\n\n\n<p>8. If (a\/b) = (c\/d) = (e\/f) = k, then:<\/p>\n\n\n\n<p>i. {(a + c + e)\/(b + d + f)} = k<\/p>\n\n\n\n<p>ii. {(pa + qc + re)\/(pb + qd + rf)} = k, where all \u2018p\u2019, \u2018q\u2019 and \u2018r\u2019 are either positive or negative real numbers.<\/p>\n\n\n\n<p><a href=\"https:\/\/www.practicemock.com\/blog\/sbi-po\/probability-tips-practice-questions-for-sbi-po-prelims\/\">Probability Tips &amp; Practice Questions for SBI PO Prelims<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ratio &amp; Proportion Tips along with Practice Questions &amp; Solutions for Bank Exams<\/h2>\n\n\n\n<p>Question 1: The ratio of number of apples sold by Mohan to that of Sohan was 8:5, respectively. Munna sold (27\/40) of number of apples sold by Mohan. If number of apples sold by Sohan was 1250 then find the number of apples sold by Munna.&nbsp;&nbsp;<\/p>\n\n\n\n<p>A) 1250<\/p>\n\n\n\n<p>B) 1350<\/p>\n\n\n\n<p>C) 1450<\/p>\n\n\n\n<p>D) 1500<\/p>\n\n\n\n<p>E) 1680<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Question 2: The ratio of male and female in a town with population 6240 is 5:3, respectively. If 510 females joined the village, the ratio of male and female in village becomes 26:x, find the value of (32 \u2013 x).<\/p>\n\n\n\n<p>A) 5<\/p>\n\n\n\n<p>B) 9<\/p>\n\n\n\n<p>C) 13<\/p>\n\n\n\n<p>D) 19<\/p>\n\n\n\n<p>E) 24<\/p>\n\n\n\n<p>Question 3: Kunti decided to distribute 1260 coins among her three sons, Arjun, Bhim, and Yudhishthir in the ratio of 2:3:4, respectively but mistakenly, she distributed the coins in the ratio of 2:3:x, andthus Yudhishthir got 200 coins less than he was supposed to receive. Find the value of \u2018x\u2019.<\/p>\n\n\n\n<p>A) 1<\/p>\n\n\n\n<p>B) 2<\/p>\n\n\n\n<p>C) 3<\/p>\n\n\n\n<p>D) 4<\/p>\n\n\n\n<p>E) 5<\/p>\n\n\n\n<p>Question 4: In a company, the ratio of the male to female employees is 7:9 and the ratio of the graduates to post graduates employees is 4:5. Find the total number of employees if the difference between the number of male employees and the number of graduate employees is 2.<\/p>\n\n\n\n<p>A) 288<\/p>\n\n\n\n<p>B) 264<\/p>\n\n\n\n<p>C) 250<\/p>\n\n\n\n<p>D) 294<\/p>\n\n\n\n<p>E) 312<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Question 5: A shopkeeper sold a total 800 mobiles and laptops in the ratio of 13:19, respectively. If the number of earphones sold by the shopkeeper is 100 less than that of mobiles sold, then find the ratio of number of earphones to the number laptops sold.<\/p>\n\n\n\n<p>A) 5:13<\/p>\n\n\n\n<p>B) 7:19<\/p>\n\n\n\n<p>C) 9:19<\/p>\n\n\n\n<p>D) 8:13<\/p>\n\n\n\n<p>E) 4:5<\/p>\n\n\n\n<p>Question 6: The ratio of waitlisted to RAC ticket booked in a train is 9:5, respectively. The number of confirmed ticket booked is 25% more than the difference of RAC and waitlisted tickets booked. If the sum of the given three types of tickets booked is 6650, then find the sum of RAC and confirmed tickets booked.<\/p>\n\n\n\n<p>A) 3500<\/p>\n\n\n\n<p>B) 3200<\/p>\n\n\n\n<p>C) 4000<\/p>\n\n\n\n<p>D) 2800<\/p>\n\n\n\n<p>E) 4200<\/p>\n\n\n\n<p>Question 7: The ratio of the number of laptops and mobiles sold by a shopkeeper is 5:7, respectively. The ratio of total number of laptops to that of mobiles the shopkeeper had is 9:8. If the number of unsold laptops and mobiles is 105 and 55, respectively, then find the ratio of sold to unsold number of laptops.<\/p>\n\n\n\n<p>A) 3:7<\/p>\n\n\n\n<p>B) 1:4<\/p>\n\n\n\n<p>C) 2:9<\/p>\n\n\n\n<p>D) 5:7<\/p>\n\n\n\n<p>E) 3:8<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Question 8: A bag contains 32 red balls and 48 blue balls. Some balls were taken out of the bag such that the ratio of blue to red balls in the bag becomes 16:9. If the number of blue balls drawn is 2 more than that of the red balls, then find the total number of balls drawn from the bag.<\/p>\n\n\n\n<p>A) 30<\/p>\n\n\n\n<p>B) 24<\/p>\n\n\n\n<p>C) 36<\/p>\n\n\n\n<p>D) 12<\/p>\n\n\n\n<p>E) 18<\/p>\n\n\n\n<p>Question 9: Company B has 25% more employees than Company A. The respective ratio of males to females in Company A is 4:3. The ratio of males to females in Company B is 7:5. If number of males in Company A is 1920, then find the difference between number of females in Company A and that in Company B.<\/p>\n\n\n\n<p>A) 320<\/p>\n\n\n\n<p>B) 350<\/p>\n\n\n\n<p>C) 310<\/p>\n\n\n\n<p>D) 280<\/p>\n\n\n\n<p>E) 240<\/p>\n\n\n\n<p>Question 10: Daksh spends his pocket money on only four items in the ratio 5:8:2:3, respectively. The difference between his highest and lowest spending is Rs. 900. If he saves Rs. 900 then find the total pocket money received by him.<\/p>\n\n\n\n<p>A) Rs. 3600<\/p>\n\n\n\n<p>B) Rs. 3000<\/p>\n\n\n\n<p>C) Rs. 2400<\/p>\n\n\n\n<p>D) Rs. 4200<\/p>\n\n\n\n<p>E) Rs. 4000<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 1: Mohan \u0914\u0930 Sohan \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0947 \u0917\u090f apples \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 8: 5 \u0925\u093e\u0964 Munna \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0940\u0902 \u0917\u0908 apples \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e Mohan \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0947 \u0917\u090f apples \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e (27\/40) \u0925\u0940\u0964 \u092f\u0926\u093f Sohan \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0940 \u0917\u0908 apples \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 1250 \u0925\u0940 \u0924\u094b Munna \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0940 \u0917\u0908 apples \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 ?<\/p>\n\n\n\n<p>A) 1250<\/p>\n\n\n\n<p>B) 1350<\/p>\n\n\n\n<p>C) 1450<\/p>\n\n\n\n<p>D) 1500<\/p>\n\n\n\n<p>E) 1680<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 2: 6240 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090f\u0915 \u0936\u0939\u0930 \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937 \u0914\u0930 \u092e\u0939\u093f\u0932\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 5: 3 \u0939\u0948\u0964 \u092f\u0926\u093f 510 \u092e\u0939\u093f\u0932\u093e\u090f\u0902 \u0917\u093e\u0902\u0935 \u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b \u0917\u0908\u0902, \u0924\u094b \u0917\u093e\u0902\u0935 \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937 \u0914\u0930 \u092e\u0939\u093f\u0932\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 26: x \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948, (32 &#8211; x) \u0915\u093e \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 ?<\/p>\n\n\n\n<p>A) 5<\/p>\n\n\n\n<p>B) 9<\/p>\n\n\n\n<p>C) 13<\/p>\n\n\n\n<p>D) 19<\/p>\n\n\n\n<p>E) 24<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 3: \u0915\u0941\u0902\u0924\u0940 \u0928\u0947 \u0905\u092a\u0928\u0947 \u0924\u0940\u0928 \u092a\u0941\u0924\u094d\u0930\u094b\u0902, \u0905\u0930\u094d\u091c\u0941\u0928, \u092d\u0940\u092e \u0914\u0930 \u092f\u0941\u0927\u093f\u0937\u094d\u0920\u093f\u0930 \u0915\u0947 \u092c\u0940\u091a \u0915\u094d\u0930\u092e\u0936\u0903 2:3:4 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 1260 \u0938\u093f\u0915\u094d\u0915\u0947 \u0935\u093f\u0924\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u093f\u092f\u093e, \u0932\u0947\u0915\u093f\u0928 \u0917\u0932\u0924\u0940 \u0938\u0947, \u0909\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b 2:3:x \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0935\u093f\u0924\u0930\u093f\u0924 \u0915\u0930 \u0926\u093f\u092f\u093e, \u0914\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092f\u0941\u0927\u093f\u0937\u094d\u0920\u093f\u0930 \u0915\u094b \u091c\u093f\u0924\u0928\u093e \u092e\u093f\u0932\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0925\u093e \u0909\u0938\u0938\u0947 200 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u092e \u092e\u093f\u0932\u0947\u0964 \u2018x\u2019 \u0915\u093e \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902&#8217;\u0964<\/p>\n\n\n\n<p>A) 1<\/p>\n\n\n\n<p>B) 2<\/p>\n\n\n\n<p>C) 3<\/p>\n\n\n\n<p>D) 4<\/p>\n\n\n\n<p>E) 5<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 4: \u090f\u0915 \u0915\u0902\u092a\u0928\u0940 \u092e\u0947\u0902, \u092a\u0941\u0930\u0941\u0937 \u0914\u0930 \u092e\u0939\u093f\u0932\u093e \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 7: 9 \u0939\u0948 \u0914\u0930 \u0938\u094d\u0928\u093e\u0924\u0915\u094b\u0902 \u0914\u0930 \u092a\u094b\u0938\u094d\u091f \u0917\u094d\u0930\u0947\u091c\u0941\u090f\u091f \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 4: 5 \u0939\u0948\u0964\u092f\u0926\u093f \u092a\u0941\u0930\u0941\u0937 \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0914\u0930 \u0938\u094d\u0928\u093e\u0924\u0915 \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 2 \u0939\u0948, \u0924\u094b \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u093f\u092f\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 288<\/p>\n\n\n\n<p>B) 264<\/p>\n\n\n\n<p>C) 250<\/p>\n\n\n\n<p>D) 294<\/p>\n\n\n\n<p>E) 312<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 5: \u090f\u0915 \u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u0928\u0947 \u0915\u0941\u0932 800 mobiles \u0914\u0930 laptops \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 13:19 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u092c\u0947\u091a\u093e\u0964\u092f\u0926\u093f \u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0947 \u0917\u090f earphones \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0947\u091a\u0947 \u0917\u090f mobiles \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 100 \u0915\u092e \u0939\u0948, \u0924\u094b \u092c\u0947\u091a\u0947 \u0917\u092f\u0947 earphones \u0914\u0930 laptops \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 5:13<\/p>\n\n\n\n<p>B) 7:19<\/p>\n\n\n\n<p>C) 9:19<\/p>\n\n\n\n<p>D) 8:13<\/p>\n\n\n\n<p>E) 4:5<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 6: \u090f\u0915 \u091f\u094d\u0930\u0947\u0928 \u092e\u0947\u0902 \u092c\u0941\u0915 \u0915\u093f\u090f \u0917\u090f waitlisted \u0914\u0930 RAC \u091f\u093f\u0915\u091f \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 9: 5 \u0939\u0948\u0964\u092c\u0941\u0915 \u0915\u093f\u090f \u0917\u090f \u0915\u0928\u094d\u092b\u0930\u094d\u092e \u091f\u093f\u0915\u091f \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0941\u0915 \u0915\u093f\u090f \u0917\u090f RAC \u0914\u0930 waitlisted \u091f\u093f\u0915\u091f\u094b\u0902 \u0915\u0947 \u0905\u0902\u0924\u0930 \u0938\u0947 25% \u0905\u0927\u093f\u0915 \u0939\u0948\u0964\u092f\u0926\u093f \u0926\u093f\u090f \u0917\u090f \u0924\u0940\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u091f\u093f\u0915\u091f\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 6650 \u0939\u0948, \u0924\u094b \u092c\u0941\u0915 \u0915\u093f\u090f \u0917\u090f RAC \u0914\u0930 \u0915\u0928\u094d\u092b\u0930\u094d\u092e \u091f\u093f\u0915\u091f\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 3500<\/p>\n\n\n\n<p>B) 3200<\/p>\n\n\n\n<p>C) 4000<\/p>\n\n\n\n<p>D) 2800<\/p>\n\n\n\n<p>E) 4200<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 7: \u090f\u0915 \u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0947\u091a\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0932\u0948\u092a\u091f\u0949\u092a \u0914\u0930 \u092e\u094b\u092c\u093e\u0907\u0932 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 5: 7 \u0939\u0948\u0964\u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u0915\u0947 \u092a\u093e\u0938 \u0932\u0948\u092a\u091f\u0949\u092a \u0914\u0930 \u092e\u094b\u092c\u093e\u0907\u0932 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 9: 8 \u0939\u0948\u0964\u092f\u0926\u093f \u0928\u0939\u0940\u0902 \u092c\u093f\u0915\u0928\u0947 \u0935\u093e\u0932\u0947 \u0932\u0948\u092a\u091f\u0949\u092a \u0914\u0930 \u092e\u094b\u092c\u093e\u0907\u0932 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094d\u0930\u092e\u0936\u0903 105 \u0914\u0930 55 \u0939\u0948, \u0924\u094b \u092c\u0947\u091a\u0947 \u0917\u090f \u0914\u0930 \u0928\u0939\u0940\u0902 \u092c\u0947\u091a\u0947 \u0917\u090f \u0932\u0948\u092a\u091f\u0949\u092a \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 3:7<\/p>\n\n\n\n<p>B) 1:4<\/p>\n\n\n\n<p>C) 2:9<\/p>\n\n\n\n<p>D) 5:7<\/p>\n\n\n\n<p>E) 3:8<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 8: \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 32 red balls \u0914\u0930 48 blue balls \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964\u0915\u0941\u091b balls \u0915\u094b \u092c\u0948\u0917 \u0938\u0947 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e \u091c\u093f\u0938\u0938\u0947 \u092c\u0948\u0917 \u092e\u0947\u0902 blue \u0914\u0930 red balls \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 16: 9 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964\u092f\u0926\u093f \u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f blue balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f red balls \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 2 \u0905\u0927\u093f\u0915 \u0939\u0948, \u0924\u094b \u092c\u0948\u0917 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f balls \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 30<\/p>\n\n\n\n<p>B) 24<\/p>\n\n\n\n<p>C) 36<\/p>\n\n\n\n<p>D) 12<\/p>\n\n\n\n<p>E) 18<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 9: Company A \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 Company B \u092e\u0947\u0902 25% \u0905\u0927\u093f\u0915 \u0915\u0930\u094d\u092e\u091a\u093e\u0930\u0940 \u0939\u0948\u0902\u0964 Company A \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0914\u0930 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u093e \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0905\u0928\u0941\u092a\u093e\u0924 4: 3 \u0939\u0948\u0964 Company B \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0914\u0930 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 7: 5 \u0939\u0948\u0964 \u092f\u0926\u093f Company A \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 1920 \u0939\u0948, \u0924\u094b Company A \u0914\u0930 Company B \u092e\u0947\u0902 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) 320<\/p>\n\n\n\n<p>B) 350<\/p>\n\n\n\n<p>C) 310<\/p>\n\n\n\n<p>D) 280<\/p>\n\n\n\n<p>E) 240<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 10: Daksh \u0905\u092a\u0928\u0947 \u091c\u0947\u092c\u0916\u0930\u094d\u091a \u0915\u094b \u0915\u0947\u0935\u0932 \u091a\u093e\u0930 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u092a\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 5: 8: 2: 3 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0916\u0930\u094d\u091a \u0915\u0930\u0924\u093e \u0939\u0948\u0964\u0909\u0928\u0915\u0947 \u0909\u091a\u094d\u091a\u0924\u092e \u0914\u0930 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0916\u0930\u094d\u091a \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 Rs. 900 \u0939\u0948|\u092f\u0926\u093f \u0935\u0939 Rs. 900 \u092c\u091a\u093e\u0924\u093e \u0939\u0948 \u092b\u093f\u0930 \u0909\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0941\u0932 \u091c\u0947\u092c\u0916\u0930\u094d\u091a \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n<p>A) Rs. 3600<\/p>\n\n\n\n<p>B) Rs. 3000<\/p>\n\n\n\n<p>C) Rs. 2400<\/p>\n\n\n\n<p>D) Rs. 4200<\/p>\n\n\n\n<p>E) Rs. 4000<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">ANSWER KEYS and SOLUTIONS:<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>1) &#8211; B)<\/td><td>2) &#8211; C)<\/td><td>3) &#8211; B)<\/td><td>4) &#8211; A)<\/td><td>5) &#8211; C)<\/td><td>6) &#8211; A)<\/td><\/tr><tr><td>7) &#8211; D)<\/td><td>8) &#8211; A)<\/td><td>9) &#8211; C)<\/td><td>10) &#8211; A)<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Solution 1: B)<\/p>\n\n\n\n<p>Number of apples sold by Mohan = 1250\/5 \u00d7 8 = 2000<\/p>\n\n\n\n<p>Number of apples sold by Munna = 27\/40 \u00d7 2000 = 1350<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<p>Solution 2: C)<\/p>\n\n\n\n<p>Number of males in village = {5\/(5 + 3)} \u00d7 6240 = 3900<\/p>\n\n\n\n<p>Number of females in village = {3\/(5 + 3)} \u00d7 6240 = 2340<\/p>\n\n\n\n<p>According to question,<\/p>\n\n\n\n<p>3900: (2340 + 510) = 26: x<\/p>\n\n\n\n<p>3900: 2850 = 26: x<\/p>\n\n\n\n<p>150: 2850 = 1: x<\/p>\n\n\n\n<p>x = 2850\/150, x = 19<\/p>\n\n\n\n<p>So, (32 \u2013 x) = 32 \u2013 19 = 13<\/p>\n\n\n\n<p>Hence, option c.<\/p>\n\n\n\n<p>Solution 3: B)<\/p>\n\n\n\n<p>Coins received by Yudhishthir in first case = (4\/(2 + 3 + 4)) \u00d7 1260 = 560<\/p>\n\n\n\n<p>Coins received by Yudhishthir mistakenly = (x\/(2 + 3 + x)) \u00d7 1260<\/p>\n\n\n\n<p>According to question,<\/p>\n\n\n\n<p>(x\/(2 + 3 + x)) \u00d7 1260 = 560 \u2013 200<\/p>\n\n\n\n<p>1260x = 360(5 + x)<\/p>\n\n\n\n<p>1260x = 360x + 1800<\/p>\n\n\n\n<p>1260x \u2013 360x = 1800<\/p>\n\n\n\n<p>x = 1800\/900 = 2<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<p>Solution 4: A)<\/p>\n\n\n\n<p>Let the total employees = x<\/p>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>x \u00d7 4\/9 &#8211; x \u00d7 7\/16 = 2<\/p>\n\n\n\n<p>(64x \u2013 63x)\/144 = 2<\/p>\n\n\n\n<p>x = 288<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p>Solution 5: C)<\/p>\n\n\n\n<p>Number of mobiles sold = 800 \u00d7 13\/32 = 325<\/p>\n\n\n\n<p>Number of laptops sold = 800 \u2013 325 = 475<\/p>\n\n\n\n<p>Therefore, number of earphones sold = 325 \u2013 100 = 225<\/p>\n\n\n\n<p>Required ratio = 225:475 = 9:19<\/p>\n\n\n\n<p>Hence, option c.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Solution 6: A)<\/p>\n\n\n\n<p>Let the number of waitlisted and RAC tickets booked be 9x and 5x respectively.<\/p>\n\n\n\n<p>Therefore, number of confirmed tickets booked = 1.25(9x \u2013 5x) = 5x<\/p>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>5x + 5x + 9x = 6650<\/p>\n\n\n\n<p>Or, x = 6650\/19 = 350<\/p>\n\n\n\n<p>Required sum = (5x + 5x) = 10x = 3500<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p>Solution 7: D)<\/p>\n\n\n\n<p>Let the total number of laptops and mobiles be 9x and 8x respectively.<\/p>\n\n\n\n<p>And the number of laptops and mobiles sold be 5y and 7y respectively.<\/p>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>9x \u2013 5y = 105\u2026\u2026 (1)<\/p>\n\n\n\n<p>8x \u2013 7y = 55\u2026\u2026. (2)<\/p>\n\n\n\n<p>On solving equation (1) and (2), we get x = 20 and y = 15<\/p>\n\n\n\n<p>Required ratio = 5y\/105 = 5:7<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Solution 8: A)<\/p>\n\n\n\n<p>Let the number of blue balls drawn be \u2018x\u2019<\/p>\n\n\n\n<p>Therefore, number of red balls drawn = (x \u2013 2)<\/p>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>(48 \u2013 x)\/(32 \u2013 x + 2) = 16\/9<\/p>\n\n\n\n<p>Or, 432 \u2013 9x = 544 \u2013 16x<\/p>\n\n\n\n<p>Or, 7x = 112<\/p>\n\n\n\n<p>Or, x = 16<\/p>\n\n\n\n<p>Therefore, total number of balls drawn = x + x \u2013 2 = 2x \u2013 2 = 30 balls<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p>Solution 9: C)<\/p>\n\n\n\n<p>Number of males in Company A = 1920<\/p>\n\n\n\n<p>Number of females in Company A = 1920 \u00d7 (3\/4) = 1440<\/p>\n\n\n\n<p>Total number of employees in Company A = 1920 + 1440 = 3360<\/p>\n\n\n\n<p>Total number of employees in Company B = 1.25 \u00d7 3360 = 4200<\/p>\n\n\n\n<p>Number of females in Company B = 4200 \u00d7 (5\/12) = 1750<\/p>\n\n\n\n<p>Required difference = 1750 \u2013 1440 = 310<\/p>\n\n\n\n<p>Hence, option c.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Solution 10: A)<\/p>\n\n\n\n<p>Let the amount spent by Daksh on four items be Rs. 5x, Rs. 8x, Rs. 2x and Rs. 3x, respectively<\/p>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>8x \u2013 2x = 900<\/p>\n\n\n\n<p>Or, x = 900\/6 = 150<\/p>\n\n\n\n<p>Pocket money received by Daksh = (5x + 8x + 2x + 3x) + 900 = Rs. 3600<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p>Disclaimer: The ratio and proportion tips, practice questions, and solutions are provided exclusively for educational and exam preparation purposes to assist candidates preparing for bank examinations. These materials are illustrative in nature and do not represent the official question papers of the Institute of Banking Personnel Selection <a href=\"https:\/\/www.ibps.in\/\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">(IBPS)<\/a> or any other examination authority. While care has been taken to ensure accuracy, the content may not fully align with the actual examination pattern or difficulty level. Candidates are strongly advised to consult official notifications, guidelines, and authentic study resources for comprehensive preparation. Neither the publisher nor contributors shall be held responsible for any discrepancies, errors, or outcomes arising from reliance on this material.<\/p>\n\n\n\n<p>This brings us to the end of the article. Prepare well for ratio and proportion topic by following the above mentioned strategy &amp; tips and by practicing the questions given here. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Checkout this Ratio &#038; Proportion Tips along with Practice Questions &#038; Solutions for Bank Exams, Take free mock test of SBI PO<\/p>\n","protected":false},"author":2,"featured_media":65939,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[49],"tags":[],"class_list":["post-65936","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sbi-po"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ratio &amp; 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