Ratio and Proportion Practice Questions

1. Express the ratio 35:42 in simplest form.

2. Express the ratio 99:121 in simplest form.

3. There are 180 stickers in a box. You divide these stickers among A , B and C in a ratio 1:4:4 . What is the total amount of stickers received by both A and C .

4. If x : y = 4:5 , y: z = 15 : 20 , find the value of x:z.

5. The ratio between two numbers is 2:3 . The sum of two numbers is 75. What is the product of two numbers ?

6. If a: b = 2:3 and b:c = 20:5 find the value of a:b:c.

7. Express the following percentage as decimals

i ) 1%. ii) 99 % iii ) 454 % iv ) 66%

8. Increase 120 by 90%.

9. Find 52 cm as a percentage of 1m.

10. Find ₹99 as a percentage of ₹198.

11. 5x + 50% of x = 15.1.

12. One tenth of a number is 10 . Find that number.

13. The sum of three consecutive odd numbers is 63. Find all the three numbers.

14. Find the ratio of 96 min to 8 hours.

15. Two numbers are in the ratio 8:4 and their sum is 120. Find the numbers.

16. Divide ₹ 2000 between X and Y in the ratio 6:2.

17. Divide ₹ 5000 among X and Y in the ratio 12:13.

18. Compare the ratios ( 3 : 4 ) and ( 4 : 3 ).

19. Are the ratios 15 m , 45 m and 30 km , 90 km in proportion?

20. Are 3, 6, 5, 15 in proportion?

21. If 20 : 12 : : y : 6, find the value of y?

22. If 45 : y : : y : 5, find the value of y?

23. If 3A = 5B = 4C , find A : B : C?

24 . If A : B = 4 : 9 and B : C = 12 : 2, find A : B : C.

25. What must be added to each term of the ratio 7 : 9 so that the new ratio becomes 7 : 8 ?

26. Present age of Sanjay is 52 years and the age of his Daughter is 28 years. Find the ratio of present age of Daughter to the present age of Sanjay ?

27. Present age of Ritu is 23 years and the age of her Brother is 18 years. What was the ratio of Ritu’s age to her Brother’s age 3 years ago ?

28. Find 71 % of 3600 metres.

29. What percent of 60 m is 9 m ?

30. Aditya ate 35% of pizza and Basudev are 40% of pizza . How much pizza is left.?

31. 70 % of 560 % 80 = ———