# CBSE Worksheet for Chapter - 5 Ratio Proportion Class 8

## CBSE Worksheet For Class 8 Chapter - Ratio Proportion

The academic team of Physics Wallah prepared a worksheet for class 8 chapter ratio and proportion encourages the students to become familiar with many questions and think more about the topic. Questions are related to expressing ratios in a very simple way, simplifying ratios, comparing ratios, arranging ratios in ascending or descending order, and proportion and mean proportional between numbers. Do follow CBSE Worksheet for class 8 Mathematics. Check out main page of Physics Wallah.

Summary:

a, b, c, d are in proportion if a/d = b/c

Mean proportional:

If a: b:: b: c, then a/b = b/c

b2 = ac

b = √ac Duplicate Ratio: The duplicate ratio of (a : b) is (a2 : b2)

Sub-Duplicate Ratio: The sub-duplicate ratio of (a: b) is Triplicate Ratio: The Triplicate ratio of (a : b) is (a3 : b3)

Sub-Triplicate Ratio: The sub-triplicate ratio of (a: b) is (a1/3: b1/3) ### Exercise:

Q1. If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c.

Q2. Find the fourth proportional of 5, 8, 15.

Q3. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4 , then find the first part.

Q4. A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.

Q5. The third proportional of 0.36 and 0.48 is:

A) 0.64

B) 0.1728

C) 0.42

D) 0.94

Q6. If 2A = 3B and 4B = 5C, then A : C is:

A) 4 : 3

B) 8 : 15

C) 15 : 8

D) 3 : 4

Q7. If x : y = 5 : 2, then (8x + 9y) = (8x + 2y) is:

A) 22 : 29

B) 26 : 61

C) 29 : 22

D) 61 : 26

Q8. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A) 27

B) 33

C) 49

D) 55

Q9. The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are:

A) 9, 12, 21

B) 15, 20, 25

C) 18, 24, 42

D) none of these

Q10. What least common number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?

A) 0

B) 1

C) 2

D) 7

Q11. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel the same distance is:

A) 5:4:6

B) 6:4:5

C) 10:12:15

D) 12:15:10

Q12. Monthly incomes of A and B are in the ratio of 4:3 and their savings are in the ratio of 3:2. If the expenditure of each will be Rs. 600, what will be the monthly income of B?

A) 2400

B) 1170

C) 1500

D) 1800

Q13. In a bag there are coins of 25p, 10p and 5p in the ratio of 1:2:3. If there is Rs.30 in all, how many 5p coins are there?

A) 50

B) 100

C) 150

D) 200

Q14. In a 60 liter mixture of milk and water, the ratio of milk to water is 2:1. How many liters of water is to be added to this, to make the ratio 1:2 in the new mixture?

A) 42

B) 56

C) 60

D) 70

Q15. x/y = 3/2 If , then is:

A) 4/3

B) 1/2

C) 5/4

D) 5

### Solutions of Worksheet - 5 Chapter - Ratio Proportion

1. 20: 36: 63
2. 24
3. 204
4. 50p = 200 ; 25p = 360 ; 10p =160
5. (A)
6. (C)
7. (C)
8. (B)
9. (C)
10. (C)
11. (D)
12. (D)
13. (C)
14. (C)
15. (D)