ratio & proportion test 1

1. A bag contains one rupee, 50- paise and 25-paise coins in the ratio 5 : 7 : 9. If the total amount in the bag is ` 430, find the number of coins of each kind.

2. Two vessels contain equal quantity of mixtures of milk and water in the ratio 9:5 and 4:3 respectively. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained.

3. The sum of three numbers is 275. If the ratio between the first and second be 3 : 7 and that between the second and third be 2 : 5, then find the second number.

4. If A : B = 3 : 4, B : C = 5 : 7 and C : D = 3 : 5, then find A : B : C : D.

5. A hound pursues a hare and takes 3 leaps for every 4 leaps of the hare, but 2 leaps of the hound are equal to 3 leaps of the hare. Compare the rates of the hound and the hare.

6. A mixture contains milk and water in the ratio 4 : 3. On adding 2 litres of water, the ratio becomes 8 : 7. Find the total quantity of the final mixture.

7. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

8. Three vessels each of 10 litres capacity contain a mixture of milk & water in the ratio 2 : 1, 3 : 1 and 3 : 2. If all the three vessels are emptied into a large vessel, find the ratio of milk and water in the new mixture.

9. A 2 kg metal of which 1/3 is zinc and rest is copper mixed with 3 kg of metal of which 1/4 is zinc and rest is copper. What is the ratio of zinc to copper in new mixture ?

10. The total income of A, B and C is 6060. A spend 80%, B spend 85% and C spend 75% and the ratio of their saving is 5 : 6 : 9. Find the income of A.

11. The ratio of amount distributed in all the male & female as salary is 6 : 5 while the ratio of salary of each male & each female is 2 : 3. Find the ratio of no. of male & female.

12. The ratio of last year income of A, B & C is 3 : 4 : 5. While the ratio of the last year income to current year income of A,B,C 4 : 5, 2 : 3 and 3 : 4. If their total current year income is ` 98,500. Find the present income of B+C.

13. Ratio of income of A, B, C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5. If A saves 14 2/7 of his income. Find the ratio of their saving.

14. A dog takes 7 jumps for every 10 jumps of the lion and a fox takes 12 jumps for every 10 jumps of the lion. And the distance covered by dog in 5 jumps, distance covered by lion in 15 jumps and the distance covered by fox in 20 jumps is equal. Find the ratio of their speeds.

15. ` 710 is divided among A, B and C in such a way that A receives ` 40 more than B, C receives ` 30 more than A. Find the Share of C.

16. The ratio of age of Meena to her mother is 3 : 8. Find the ratio of their age after 4 years, if after 10 years their age difference will be 35 years

17. 3 Vessels whose capacities are 3 : 2 : 1 are completlely filled with milk. Mixed water in the mixture of Vessels are 5 : 2, 4 : 1 and 4 : 1 respectively. Taking 1/3 of first, 1/2 of 2nd and 1/7 of 3rd mixtures, kept in a new vessel is prepared. The % of water in new mixture is?

18. The ratio of income of A and B is 3 : 2 and the ratio of their expenditure is 4 : 3 and their savings are respectively ` 2,000 and Rs. 1000. Find the income of A and B respectively.

19. A person cover certain distance by train, bus and car in ratio 4 : 3 : 2. The ratio of fair is 1 : 2 : 4 per km. The total expenditure as a fair is Rs. 720. Then, total expenditure as fair on train.

20. A bag contains Rs. 410 in the from of Rs. 5, Rs. 2 and Rs. 1 coins. The number of coins are in ratio of 4 : 6 : 9. So, find the number of 2 Rs. coins.