# Chapter – 2 (Ratio – Proportion)

Questions With Solution

A. 20 : 27    B. 27 : 20   C. 6 : 8    D. 8 : 6

Solution :-

A. 8 : 9 : 16    B. 8 : 9 : 12    C. 8 : 9 : 24    D. 4 : 9 : 16

Solution :-

A. 21 : 36    B. 2 : 59    C. 59 : 2    D. 36 : 21

Solution :-

3. What is the fourth proportional of 12, 21, 8?

A. 8.9   B. 56   C. 14   D. 17

Solution :-

5. If m : n = 3 : 2, then ( 4m + 5n ) : ( 4m – 5n ) will equal to:

A. 4 : 9  B. 9 : 4    C. 11 : 1    D. 9 : 1

Solution :-

6. A person spends some of his monthly income and some saves. The same person’s spending and savings ratio is 26 : 3. If the total income is 7250, then find his savings

A. 350   B. 290   C. 750   D. 780

Solution :-

7. If a : b = 5 : 7 and c : d = 2a : 3b then ac : bd =?

A. 20 : 38   B. 50 : 147   C. 10 : 21   D. 50 : 151

Solution :-

Solution :-

A. 6 : 4 : 8 : 10      B. 6 : 8 : 9 : 10

C. 8 : 6 : 10 : 9     D. 4 : 6 : 8 : 10

Solution :-

A. 8: 9 : 16     B. 8 : 9 : 12

C. 8 : 9 : 24     D. 4 : 9 : 12

Solution :-

11. The ratio of income of A and B is 5 : 6. If A gets Rs. 11,100 less than B. Find the total income of both.

A. 9,900   B. 1,22,100   C. 14,400   D. 10,000

Solution :-

12. A box contains 1 rupee, 50 paise and 25 paise coins in the ratio 8 : 5 : 3. If the total amount is Rs. 112.50. Then what is the number of 50 paise coins?

A. 80     B. 50     C. 30      D. 42

Solution :-

13.  A fruit seller sells each apple of large, middle and small size atRs.15, Rs. 10 and Rs. 5 respectively, The total apples sold are in the income ratio of 3 : 2 : 5. So find the average price of an apple.

A. र 8   B. र 10   C. र 9   D. र 7

Solution :-

14. The ratio of boys and girls in a school is 4 :3 and the ratio of girls and teachers is 8 : 1. What is the ratio of students and teachers?

A. 32 : 3      B. 40 : 1       C. 31 : 2      D. 4 : 3

Solution :-

15. A milkman earns  20% profit by selling milk mixed with water at Rs.9 per liter. If the price of 1 liter of pure milk is Rs. 10, then find the ratio of milk and water in the mixture.

A. 2 : 3      B. 4 : 1       C. 3 : 2      D. 3 : 1

Solution :-

16. Which numbers should be added to each of 7, 16, 43 and 79, that the new number become proportional?

A. 2          B. 3           C. 5          D. 1

Solution :-

17. The ratio of students in the three classes is 4 : 6 : 9  If there are 12 more students in each class, then the class ratio becomes 7 : 9 : 12. So in the beginning, how many students were there?

A. 95        B. 76        C. 100          D. 114

Solution :-

18. 400 grams of alloy contains zinc and copper in the ratio 5 : 3. So what quantity of copper should be added to make the ratio 5 : 4

A. 50 gm    B. 66 gm    C. 72 gm    D. 200 gm

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19. Rs. 738 was divided into A, B and C in the ratio 2 : 3 : 4. Find the share obtained by B.

A. र 328     B. र 246     C. र 264    D. र 164

Solution :-

20. Rs. 1740 was divided into A, B and C such that 0.5 A = 0.6 B = 0.75. Find the value of C.

A. र 580       B. र 696   C. र 348    D. र 464

Solution :-

21. An amount is divided into x, y and z. If x gets 25% more than y and y gets 25% less than z, find the ratio of x : y : z.

A. 14 : 12 : 13     B. 15 : 12 : 16

C. 10 : 9 : 12       D. 12 : 10 : 11

Solution :-

22. A 2 kg mixture of copper and aluminum contains 30%. How much aluminum powder should be added to the mixture, so that the copper content is 20%?

A. 900 gms    B. 800 gms    C. 1000 gms    D. 1200 gms

Solution :-

23. A bag contains 1 rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 5. If the total value of these coins is Rs. 228, How many coins were 50 paise in that bag?

A. 144    B. 124     C. 112     D. 96

Solution :-

24. Divide 27 into two parts in such a way that 5 times the first part and 11 times the second part both equal to 195 . What is the ratio of the first and second part?

A. 3:2    B. 17:10    C. 2:7    D. 5:4

Solution :-

25. Which number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in constant proportion?

A. 20     B. 10     C. 5     D. 15

Solution :-

26. Rs. 3200 is divided between A, B and C in the ratio 3 : 5 : 8 respectively. What is the difference (in rupee) between the share of B and C?

A. 400    B. 600      C. 800    D. 900

Solution :-

27. A bag contains 5 rupee, 50 paise and 10 paise  coins in the ratio of 1 : 5 : 11. If total value of these coins is Rs. 43. What is the total number of 50 paise coins?

A. 5    B. 25    C. 55    D. 50

Solution :-

28. The present age ratio of R and S is 11 : 17. 11 years ago their ratio of age was 11 : 20. What is the present age of R?

A. 51    B. 33    C. 22    D. 40

Solution :-

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