Ratios & Proportions Level-2 Quiz-3

1. The ratio of ages of Abha and her mother is 3 : 5. At the time of Abha’s birth her mother’s age was 28 year. Find the sum of present ages of Abha and her mother.

2. Present ages of X and Y are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5:4?

3. The average height of 13 people reduces by 2 cm if I replace a person of height 184 cm with a new person. Find the height of this new person.

4. The current population of a town is 10000. If the population increases by 10% every year, then what will be the population of the town after two years?

5. Raghav wants to convert a mixture of milk and water in the ratio 16 : 19 into a mixture of milk and water in the ratio of 19 : 16. Find the amount of milk as a percentage of initial solution that should be added to achieve the required ratio

6. Rs. 1000 are distributed among A, B and C. If Rs. 20, 30 and 50 are subtracted from A’s, B’s and C’s share respectively, then the shares of A, B and C are in the ratio 2 : 3 : 5. Find C’s original share (in Rs.).

7. The ratio of ‘metal 1’ and ‘metal 2’ in Alloy ‘A’ is 3 : 4. In Alloy ‘B’ same metals are mixed in the ratio 5 : 8. If 26 kg of Alloy ‘B’ and 14 kg of Alloy ‘A’ are mixed then find out the ratio of ‘metal 1’ and ‘metal 2’ in the new Alloy.

8. A Flask contains a mixture of 98 L of alcohol and water in the proportion 5 : 2. How much water (in liters) must be added to it so that the ratio of alcohol to water may be 1:1?

9. A cask contains 15 gallons of mixture of wine and water in the ratio 2 : 1. How much of the water must be drawn off, so the ratio of wine and water in the cask may become 4 : 1?

10. A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?