{"id":190899,"date":"2025-12-20T10:54:00","date_gmt":"2025-12-20T05:24:00","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=190899"},"modified":"2025-12-19T17:11:24","modified_gmt":"2025-12-19T11:41:24","slug":"ratio-and-proportion-questions-for-ssc-chsl","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/ratio-and-proportion-questions-for-ssc-chsl\/","title":{"rendered":"Ratio and Proportion for SSC CHSL: Download Free PDF &#038; Practice Now"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"yoast-breadcrumbs\"><span><span><a href=\"https:\/\/www.practicemock.com\/blog\/\">Home<\/a><\/span> \u00bb <span><a href=\"https:\/\/www.practicemock.com\/blog\/category\/ssc-chsl\/\">SSC CHSL<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Ratio and Proportion for SSC CHSL<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p><strong>Preparing for the <a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL<\/a> exam?<\/strong> You are likely aiming for a desk job in a government ministry as an LDC or DEO. To get there, you have to score high in the Tier 1 exam, especially in Quantitative Aptitude. In the Math section, <strong>Ratio and Proportion<\/strong> is one of the most scoring topics. Why? Because if you master Ratio, you don&#8217;t just solve Ratio questions. You also automatically master topics like <strong>Ages, Partnership, Mixtures, and even Time &amp; Work<\/strong>. Many students get scared when they see questions like <em>&#8220;Find the fourth proportional&#8221;<\/em> or <em>&#8220;A bag contains 50p and 25p coins&#8230;&#8221;<\/em> But you do not need to worry about it any more because here we have provided exam-level questions of ratio and proportion for SSC CHSL. Download the PDF for free and start practicing the questions.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?ref=14964\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Attempt a Free SSC CHSL Mock Test and Check Your AIR<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why is Ratio &amp; Proportion Important for SSC CHSL?<\/h2>\n\n\n\n<p>In the SSC CHSL Tier 1 exam, this topic is a rank booster.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>The Foundation:<\/strong> It is the base of Arithmetic. 50% of the math paper uses Ratio logic.<\/li>\n\n\n\n<li><strong>Direct Marks:<\/strong> You will definitely find <strong>2 to 3 direct questions<\/strong> in the exam.<\/li>\n\n\n\n<li><strong>Speed:<\/strong> Ratio questions can often be solved just by looking at the options. If the question asks for &#8220;A&#8217;s share&#8221; and A&#8217;s ratio is 7, the answer <em>must<\/em> be divisible by 7. This trick solves questions in 5 seconds!<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Understanding the Concept<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Ratio (A:B):<\/strong> It is a comparison. If I have \u20b910 and you have \u20b920, our ratio is 1:2.<\/li>\n\n\n\n<li><strong>Proportion (A:B:: C:D):<\/strong> It means two ratios are equal.<\/li>\n\n\n\n<li><strong>Third Proportional:<\/strong> Uses the formula b<sup>2<\/sup> \/ a.<\/li>\n\n\n\n<li><strong>Mean Proportional:<\/strong> Uses the formula \u221a(axb).<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Download Free PDF of Ratio &amp; Proportion Questions for SSC CHSL<\/h2>\n\n\n\n<p>We have prepared a comprehensive PDF containing exam-level questions. We have covered all the favorite types of SSC CHSL, like Coin problems, Income-Expenditure, and Mean Proportional. Download it, save it, and practice these questions to build your speed.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Ddashboard%26i%3Dssc%26dl%3Dhttps%253A%252F%252Fwww.practicemock.com%252Fpricing%252Fmarketing%252Ffiles%252Fpdf%252Fratio-and-proportion-questions-for-ssc-chsl.pdf&amp;ref=14964\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Ratio and Proportion Questions for SSC CHSL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Q1. If A : B = 2 : 3 and B : C = 5 : 7, find A : B : C.<\/p>\n\n\n\n<p>(a) 10 : 15 : 21<br>(b) 10 : 15 : 20<br>(c) 2 : 3 : 7<br>(d) 10 : 20 : 21<\/p>\n\n\n\n<p>Answer: (a) 10 : 15 : 21<\/p>\n\n\n\n<p>Logic:<br>B is common in both ratios.<br>Make B equal.<br>Multiply first ratio by 5: 2 : 3 becomes 10 : 15.<br>Multiply second ratio by 3: 5 : 7 becomes 15 : 21.<br>So, A : B : C = 10 : 15 : 21.<\/p>\n\n\n\n<p>Q2. Find the Fourth Proportional to 12, 16, and 18.<\/p>\n\n\n\n<p>(a) 20<br>(b) 24<br>(c) 28<br>(d) 30<\/p>\n\n\n\n<p>Answer: (b) 24<\/p>\n\n\n\n<p>Logic:<br>12 : 16 :: 18 : x<br>Product of means = Product of extremes.<br>16 \u00d7 18 = 12 \u00d7 x<br>288 = 12x<br>x = 24.<\/p>\n\n\n\n<p>Q3. Find the Mean Proportional between 4 and 25.<\/p>\n\n\n\n<p>(a) 12<br>(b) 10<br>(c) 15<br>(d) 8<\/p>\n\n\n\n<p>Answer: (b) 10<\/p>\n\n\n\n<p>Logic:<br>Mean proportional = square root of (a \u00d7 b).<br>= square root of (4 \u00d7 25)<br>= square root of 100<br>= 10.<\/p>\n\n\n\n<p>Q4. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, they are in the ratio 12 : 23. Find the smaller number.<\/p>\n\n\n\n<p>(a) 27<br>(b) 33<br>(c) 49<br>(d) 55<\/p>\n\n\n\n<p>Answer: (b) 33<\/p>\n\n\n\n<p>Logic:<br>Smaller number must be a multiple of 3.<br>Check 33 and 55.<br>33 \u2212 9 = 24<br>55 \u2212 9 = 46<br>Ratio = 24 : 46 = 12 : 23<br>So, smaller number = 33.<\/p>\n\n\n\n<p>Q5. A bag contains Rs. 1, 50 paise, and 25 paise coins in the ratio 5 : 6 : 8. If the total amount is Rs. 240, find the number of 25 paise coins.<\/p>\n\n\n\n<p>(a) 160<br>(b) 192<br>(c) 180<br>(d) 200<\/p>\n\n\n\n<p>Answer: (b) 192<\/p>\n\n\n\n<p>Logic:<br>Value ratio =<br>(5 \u00d7 1) : (6 \u00d7 0.5) : (8 \u00d7 0.25)<br>= 5 : 3 : 2<\/p>\n\n\n\n<p>Total value units = 10<br>10x = 240<br>x = 24<\/p>\n\n\n\n<p>Number of 25 paise coins = 8x<br>= 8 \u00d7 24<br>= 192.<\/p>\n\n\n\n<p>Q6. If 3A = 4B = 5C, find A : B : C.<\/p>\n\n\n\n<p>(a) 20 : 15 : 12<br>(b) 12 : 15 : 20<br>(c) 3 : 4 : 5<br>(d) 5 : 4 : 3<\/p>\n\n\n\n<p>Answer: (a) 20 : 15 : 12<\/p>\n\n\n\n<p>Logic:<br>Use hide-and-seek method.<br>Hide A: 4 \u00d7 5 = 20<br>Hide B: 3 \u00d7 5 = 15<br>Hide C: 3 \u00d7 4 = 12<br>So, A : B : C = 20 : 15 : 12.<\/p>\n\n\n\n<p>Q7. The Third Proportional to 9 and 12 is:<\/p>\n\n\n\n<p>(a) 16<br>(b) 18<br>(c) 20<br>(d) 24<\/p>\n\n\n\n<p>Answer: (a) 16<\/p>\n\n\n\n<p>Logic:<br>Third proportional formula:<br>c = (b \u00d7 b) \/ a<br>= (12 \u00d7 12) \/ 9<br>= 144 \/ 9<br>= 16.<\/p>\n\n\n\n<p>Q8. A sum of Rs. 300 is divided among P, Q, and R such that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. Find their ratio.<\/p>\n\n\n\n<p>(a) 2 : 3 : 5<br>(b) 3 : 2 : 5<br>(c) 2 : 5 : 3<br>(d) 5 : 3 : 2<\/p>\n\n\n\n<p>Answer: (a) 2 : 3 : 5<\/p>\n\n\n\n<p>Logic:<br>Let P = x<br>Q = x + 30<br>R = x + 90<\/p>\n\n\n\n<p>Total = x + (x + 30) + (x + 90)<br>3x + 120 = 300<br>3x = 180<br>x = 60<\/p>\n\n\n\n<p>P = 60, Q = 90, R = 150<br>Ratio = 60 : 90 : 150<br>= 2 : 3 : 5.<\/p>\n\n\n\n<p>Q9. The ratio of incomes of A and B is 5 : 6 and their expenditures are 3 : 4. If they save Rs. 1800 and Rs. 1600 respectively, find B&#8217;s income.<\/p>\n\n\n\n<p>(a) Rs. 7200<br>(b) Rs. 6000<br>(c) Rs. 4800<br>(d) Rs. 3600<\/p>\n\n\n\n<p>Answer: (a) Rs. 7200<\/p>\n\n\n\n<p>Logic:<br>Income ratio = 5 : 6<br>Expenditure ratio = 3 : 4<br>Saving ratio = 1800 : 1600<\/p>\n\n\n\n<p>Difference of cross-products:<br>(5 \u00d7 4) \u2212 (6 \u00d7 3) = 20 \u2212 18 = 2 units<\/p>\n\n\n\n<p>(1800 \u00d7 4) \u2212 (1600 \u00d7 3) = 7200 \u2212 4800 = 2400<\/p>\n\n\n\n<p>2 units = 2400<br>1 unit = 1200<\/p>\n\n\n\n<p>B\u2019s income = 6 units<br>= 6 \u00d7 1200<br>= Rs. 7200.<\/p>\n\n\n\n<p>Q10. In a mixture of 60 liters, the ratio of milk and water is 2 : 1. How much water must be added to make the ratio 1 : 2?<\/p>\n\n\n\n<p>(a) 40 liters<br>(b) 50 liters<br>(c) 60 liters<br>(d) 20 liters<\/p>\n\n\n\n<p>Answer: (c) 60 liters<\/p>\n\n\n\n<p>Logic:<br>Total mixture = 60 liters<br>Milk = 40 liters<br>Water = 20 liters<\/p>\n\n\n\n<p>To make ratio 1 : 2,<br>If milk (1 part) = 40,<br>Water (2 parts) = 80<\/p>\n\n\n\n<p>Water added = 80 \u2212 20<br>= 60 liters.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Ddashboard%26i%3Dssc%26dl%3Dhttps%253A%252F%252Fwww.practicemock.com%252Fpricing%252Fmarketing%252Ffiles%252Fpdf%252Fratio-and-proportion-questions-for-ssc-chsl.pdf&amp;ref=14964\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Ratio and Proportion Questions for SSC CHSL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How to Prepare Ratio Questions Easily?<\/h2>\n\n\n\n<p>Don&#8217;t calculate everything. Use smart tricks to save time. For that, we have provided some tips and tricks below.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Check the Options First:<\/strong> This is the golden rule for SSC CHSL. If the question asks for &#8220;A&#8217;s Income&#8221; and the ratio is 5, the answer must be a number divisible by 5. Often, you can eliminate 2-3 options just by doing this.<\/li>\n\n\n\n<li><strong>The &#8220;Hide and Seek&#8221; Trick:<\/strong> For questions like 3A = 4B = 5C, don&#8217;t find LCM. Just hide the variable you want to find and multiply the other two numbers. It\u2019s instant.<\/li>\n\n\n\n<li><strong>Memorize Formulas:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Mean Proportional = \u221aab<\/li>\n\n\n\n<li>Third Proportional = b<sup>2<\/sup>\/a<\/li>\n\n\n\n<li>These questions come every year in CHSL Tier 1.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Practice with Topic Tests:<\/strong> Reading is not enough. You must solve. Attempt our <strong><a href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?ref=14964\" target=\"_blank\" rel=\"noreferrer noopener\">Free Topic Tests<\/a><\/strong> to increase your calculation speed.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/www.practicemock.com\/?next=https%3A%2F%2Fwww.practicemock.com%2Fs1pricing%2Findex.php%3Fc%3Dsscpro&amp;ref=14964\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1141\" height=\"700\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/08\/SSC-PRO-4.png\" alt=\"Best SSC's Courses at Very Affordable Prices.\" class=\"wp-image-170698\"\/><\/a><\/figure><\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><em>Join our exclusive Telegram group for expert guidance, personalized tips, and real-time solutions to boost your SSC exam prep. [<a href=\"https:\/\/t.me\/practicemockssc\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Click here to join now!<\/a>]<\/em><\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td colspan=\"2\"><strong>Other Related Article SSC CHSL<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Notification<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-study-plan-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Study Plan<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-previous-year-question-paper\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Previous Year Question Paper<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-salary\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Salary<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-cut-off\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Cut Off<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-selection-process\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Selection Process<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-syllabus\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Syllabus<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FAQs: Ratio &amp; Proportion Questions for SSC CHSL<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1766131346319\"><strong class=\"schema-faq-question\">Is Ratio difficult in SSC CHSL?<\/strong> <p class=\"schema-faq-answer\">No. It is considered an &#8220;Easy to Moderate&#8221; topic. If you know the basic concepts, you can score full marks.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766131369291\"><strong class=\"schema-faq-question\">How many questions can SSC ask from ratio and proportion in the SSC CHSL exam?<\/strong> <p class=\"schema-faq-answer\">You can consistently expect 2 to 3 questions in the Quantitative Aptitude section.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766131436529\"><strong class=\"schema-faq-question\">What is the &#8220;Cross-Product Method&#8221;?<\/strong> <p class=\"schema-faq-answer\">It is a shortcut technique used to solve Income-Expenditure questions quickly without forming long equations.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766131445937\"><strong class=\"schema-faq-question\">Where can I download the free PDF?<\/strong> <p class=\"schema-faq-answer\">You can download the free, exam-level PDF by clicking the link provided in the middle of this blog post.<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Click to download a free PDF of Ratio and Proportion Questions for SSC CHSL to solve exam-level questions and boost your preparation.<\/p>\n","protected":false},"author":25,"featured_media":190901,"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":[23],"tags":[],"class_list":["post-190899","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-chsl"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ratio and Proportion for SSC CHSL: Download Free PDF<\/title>\n<meta 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