Ratio And Proportion For IBPS RRB Exam, Check Complete Details

Ratio And Proportion For IBPS RRB- Ratio is nothing but a comparison of two quantities by division, thus representing the relation that one quantity has with the other. This is represented as a:b, where a is the Antecedent and b is the Subsequent. The Ratio and Proportion is one of the easiest topics to feature in any banking exam, as this type of question can be solved in a few seconds. Hence, in this article, we shall be discussing some of the important concepts, tips, and tricks to solve questions on ratio and proportion in an exam.

Important Questions For Ratio And Proportion 

Question 1: Present ages of Mohit and Sohit are in the ratio 3:4, respectively. Present age of Rohit is 50% more than the present age of Sohit. Ratio of the age of Mohit after one year to the age of Rohit three years ago was 5:9. Find the present age of Sohit.

A) 16 years

B) 24 years

C) 32 years

D) 40 years

E) 48 years

Question 2: Four years ago, ratio of ages of Ram and Shyam was 13:15, and 4 years hence, ratio of their ages is 15:17. Find the average present age of Ram and Shyam.

A) 54 years

B) 58 years

C) 56 years

D) 62 years

E) 60 years

Question 3: Five years ago, age of father was double the age of his son, and 15 years hence, the ratio of their ages becomes 8:5. Find the average of their present age.

A) 60 years

B) 40 years

C) 65 years

D) 50 years

E) 45 years

Question 4: Six years ago, Avantika was 12 years younger than Anamika.12 years hence, the ratio of their ages becomes 3:4. Find their average present age of both of them.

A) 30 years

B) 32 years

C) 36 years

D) 28 years

E) None of these

Question 5: In a school, there are 240 students. The number of boys is 40% less than the number of girls. Find the ratio of the number of Boys to the number of Girls.

A) 3:5

B) 2:5

C) 1:3

D) 4:7

E) None of these

Question 6: 4 years hence, the respective ratio between A’s age and B’s age will be 9:11. 6 years ago, if their average age was 30 years, what is B’s present age (in years)?

A) 40 years

B) 32 years

C) 44 years

D) 36 years

E) None of these

Question 7: The ratio of the income of A, B and C is 5:6:7, respectively. If the income of B is increased by 25%, then it becomes Rs. 5250, then find the difference between the original income of A and C.

A) Rs. 2000

B) Rs. 1600

C) Rs. 1400

D) Rs. 1800

E) None of these

Question 8: Present ages of Akash and Itij are in the ratio 7:5 respectively. Gaurav is 3 years younger to Akash while Priya is 5 years elder to Itij. Find the ratio of the present ages of Gaurav to Priya if the present average age of Priya, Gaurav, Akash and Itij is 24 years six months.

A) 1:1

B) 2:3

C) 3:2

D) 5:4

E) 4:5

Question 9: Ratio of number of apples eaten by Kishan to Sourav is 4:7, respectively while ratio of number of apples eaten by Sourav to Vishal is 5:3, respectively. If number of apples eaten by Vishal is 21, then find the number of apples eaten by Kishan.

A) 20

B) 28

C) 24

D) 35

E) 32

Question 10: Four years ago, ratio of age of Goli and Bholi is 5:7, respectively. What will be the ratio of age of Goli to Bholi after six years, if present age of Goli is 29 years.

A) 8:11

B) 4:7

C) 5:6

D) 7:9

E) 9:13

Solution 1: C)

Let the present ages of Mohit and Sohit are 3x years and 4x years, respectively.

So the present age of Rohit = 1.50 × 4x = 6x years

According to question: (3x + 1)/ (6x – 3) = 5/9

27x + 9 = 30x – 15

3x = 24, x = 8

So the present age of Sohit = 8 × 4 = 32 years

Hence, option c.

Solution 2: E)

Let present age of Ram and Shyam be P years and Q years respectively.

According to question,

(P – 4)/(Q – 4) = 13/15

15P – 60 = 13Q – 52

15P – 13Q = 8………………….(1)

And, (P + 4)/(Q + 4) = 15/17

17P + 68 = 15Q + 60

15Q – 17P = 8…………………..(2)

Solving equation (1) and (2), we get

P = 56 and Q = 64

Average present age of Ram and Shyam = (56 + 64)/2 = 120/2 = 60 years

Hence, option e.

Solution 3: D)

Let present age of father and son be F and S.

According to question,

F – 5 = 2 × (S – 5)

F – 5 = 2S – 10

F = 2S – 5…………………………….(1)

(F + 15)/(S + 15) = 8/5

5F + 75 = 8S + 120

5F = 8S + 45

5 × (2S – 5) = 8S + 45

10S – 25 = 8S + 45

2S = 70

S = 35 years

F = 70 – 5 = 65 years

Desired average = (65 + 35)/2 = 50 years

Hence, option d.

Solution 4: A)

Let present age of Avantika and Anamika be X years and Y years respectively.

According to question,

(X – 6) = (Y – 6) – 12

X = Y – 12…………………………….(1)

And, (X + 12)/(Y + 12) = 3/4

4X + 48 = 3Y + 36

Putting value of X from equation (1)

4 × (Y – 12) + 48 = 3Y + 36

4Y – 48 + 48 = 3Y + 36

Y = 36 years

X = 24 years

Desired Average = (36 + 24)/2 = 30 years

Hence, option a.

Solution 5: A)

Let the number of girls be x

So the number of boys = 60x/100 = 0.6x

Required ratio = 0.6x:x = 3:5

Hence, option a.

Solution 6: A)

Let the present age of A and B be ‘x’ years and ‘y’years respectively.

(x – 6 + y – 6)/2 = 30

x + y – 12 = 60

x + y = 72 —–(i)

(x + 4)/(y + 4) = 9/11

11x + 44 = 9y + 36

11x – 9y = -8 —–(ii)

On solving (i) and (ii), we get

x = 32 and y = 40

So, B’s present age is 40 years.

Hence, option a.

Solution 7: C)

Income of B = 5250/1.25 = Rs. 4200

So, income of A = 4200 × 5/6 = Rs. 3500

Income of C = 4200 × 7/6 = Rs. 4900

Required difference = 4900 – 3500 = Rs. 1400

Hence, option c.

Solution 8: A)

Let the present ages of Akash and Itij be 7x years and 5x years, respectively.

So, the present age of Gaurav = 7x – 3 years

Present age of Priya = 5x + 5 years

According to question: 7x + 5x + 7x – 3 + 5x + 5 = 4 × 24.5

24x + 2 = 98

24x = 96

x = 4

So, the present ages of Priya, Gaurav, Akash and Itij are 25 years, 25 years, 28 years and 20 years respectively.

So, the desired ratio = 25:25 = 1:1

Hence, option a.

Solution 9: A)

Number of apples eaten by Kishan = 4/7 × 5/3 × 21 = 20

Hence, option a.

Solution 10: D)

Age of Goli 4 years ago = 29 – 4 = 25 years

Present age of Bholi = 7/5 × 25 + 4 = 39 years

Required ratio = (29 + 6)/(39 + 6) = 35:45 = 7:9

Hence, option d.

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