# Ratio and Proportion Questions

by Amit Prabhu | Updated on 08 August 2023

In Mathematics, concept of ratio and proportion plays a vital role. May it be calculation of Speed or calculation of  price (rupees/meter) of a material, the concept is required. Hence to solve various concepts, understanding the Ratio and proportion is important.

Ratio is the relative size of two quantities expressed as the quotient of one divided by the other; the ratio of a to b is written as a:b or a/b and Proportion is an equality between two ratios.

## Ratio and Proportion Questions WIth Answers

A) 415 ml

B) 403 ml

C) 400 ml

D) 424 ml

A) 48

B) 24

C) 38

D) None of these

A) Rs 460

B) Rs 484

C) Rs 550

D) Rs 550

A) Rs. 500

B) Rs. 1500

C) Rs. 2000

D) None

### Q5) A got twice as many marks in English as in Science. His total marks in English, Science and Mathematics is 180. If the ratio of his marks in English and Mathematics is 2 : 3, what is his marks in Science?

A) 10

B) 20

C) 30

D) 40

#### Solution :

English : Mathematics = 2:3
English : Science = 2:1
English : Mathematics : Science = 2:3:1
English + Mathematics + Science = 180
Marks in Science = (1/6)*180 = 30

### Q6) In a book store house, the ratio of English to hindi books is 7:2. If there are 1512 English books and due to increase in demand of English books, few English books are added by the shopkeeper and the said ratio become  15:4. The number of English books added is:

A) 432

B) 3024

C) 1620

D) 108

#### Solution :

---> The ratio of English books/Hindi books
---> 7 : 2 = 1512 : Hindi books
---> Hindi books = 432
---> Let x books are added:
---> 15 : 4 = (1512 + x) : 432
---> on solving we get x = 108

### Q7) By mistake, instead of dividing Rs. 117 among A, B and C in the ratio 1/2,1/3,1/4 it was divided in the ratio of 2:3:4. Who gains the most and by how much?

A)  A, Rs. 28

B) B, Rs. 3

C) C, Rs. 20

D) C, Rs. 20

#### Solution :

----> Original ratio of A, B, and C = 1/2 : 1/3 : 1/4 = 6: 4: 3
----> Share of A = 6/13 * 117 = Rs. 54
----> Share of B = 4/13 * 117 = Rs. 36
----> Share of C = 3/13 * 117 = Rs. 27
----> The ratio of A, B, and C by mistake = 2 : 3 : 4
----> Share of A = 2/9 *117 = Rs.26
----> Share of B = 3/9 *117 = Rs.39
----> Share of C = 13 * 4 = Rs.52
----> Therefore, it is clear from the above calculation that C gains maximum i.e.52 - 27 = Rs. 25

### Q8) Dhiraj have coins are in the ratio of Rs.1 coins, 50p coins and 25p coins can be expressed by three consecutive odd prime numbers that are in ascending order. The total value of coins in the bag is Rs 58. If the numbers of Rs.1, 50p, and 25p coins are reversed, find the new total value of coins in the bag of Dhiraj?

A) Rs.86

B) Rs. 83

C) Rs. 75

D) Rs. 82

#### Solution :

Since the ratio of the number of Rs. 1, 50p and 25p coins can be represented by 3 consecutive odd numbers that are prime in ascending order; the only possibility for the ratio is 3:5:7

---> Let the number of Rs.1, 50p and 25p coins be 3x, 5x and 7x respectively.

---> Hence, total value of coins in paise

---> = 100*3x+50*5x+25*7x = 725x

---> Given 725x = 5800
---> therefore x = 8

---> If the number of coins of Rs. 1,50p and 25p is reversed, the total value of coins in the Bag (in paise)

---> = 100*7x+50*5x+25*3x = 1025x

---> Substitute x = 8

---> New total = RS. 82

### Q9) Karan, Hari and Kowshik play cricket. The runs got by Karan to Hari and Hari to Kowshik are in the ratio of 5:3. They get altogether 588 runs. How many runs did Karan get?

A) 150 runs

B) 300 runs

C) 250 runs

D) 200 runs

#### Solution :

Karan, Hari and Kowshik play cricket. The runs got by Karan to Hari and Hari to Kowshik are in the ratio of 5:3. They get altogether 588 runs. How many runs did Karan get:

Reference :

---> Karan : Hari = (5:3)

---> Hari : Kowshik = (5:3)

---> Karan : Hari : Kowshik = (25:15:9)

---> Therefore, the runs made by Karan,

---> = (25/49) * 588

---> = 25 * 12 = 300 runs

### Q10) An outgoing batch of students wants to gift books worth Rs 4,200 to their teachers. If the boys, offer to pay 50% more than the girls and an external sponsors gives three times the boy’s contribution, then how much should the boys donate?

A) Rs 600

B) Rs 840

C) Rs 900

D) Rs 1,200

#### Solution :

----> The ratio of the share girls: boys: sponsors = (1:1.5:4.5)

----> So the proportion to boy’s share = (1.5/7)

----> Hence, the boys would donate = (1.5/7) * 4200 = Rs 9002

### Relates Topics

 Time and Work  Questions Probability Questions Age Related Questions