Ratio and Proportion — Prelims Questions

A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3. If R gets ₹1000 more than S, what is P's share?

A mixture contains milk and water in the ratio 5:3. If 16 liters of water are added to the mixture, the ratio of milk to water becomes 1:1. What was the initial quantity of milk in the mixture?

The ratio of the ages of A and B is 3:5. Ten years ago, the ratio of their ages was 1:2. What will be the ratio of their ages 5 years from now?

If x:y = 3:4, and y:z = 8:9, then what is x:y:z?

A, B, and C start a business. A invests ₹20,000 for 8 months, B invests ₹15,000 for 12 months, and C invests ₹25,000 for 6 months. If the total profit at the end of the year is ₹12,900, what is B's share of the profit?

A bag contains coins of ₹1, 50 paise, and 25 paise in the ratio 2:3:5. If the total value of the coins in the bag is ₹225, what is the number of 50 paise coins?