## Problems on ratio and proportion:

11) The ratio of income in two consecutive years is 2: 3 respectively. The ratio of their expenditure is 5: 9. Income of second-year is Rs 45000 and Expenditure of first-year is Rs 25000. Find the Savings in both years together.

1. 5000
2. 7000
3. 6075
4. 8025

12) Pervez, Sunny, and Ashu Bhati alone can complete a piece of work in 30, 50, and 40 days. The ratio of their salaries of each day is 4: 3: 2 respectively. The total income of Parvez is Rs 144. Find the total income of Sunny.

1. 180
2. 185
3. 190
4. 195

13) A person covers the different distances by train, bus, and car in the ratio of 4: 3: 2. The ratio of the fair is 1: 2: 4 per km. The total expenditure as a fair is Rs 720. Find the total expenditure as fair on the train.

1. 140
2. 150
3. 160
4. 170

14) The price of silver-biscuit is directly proportional to the square of its weight. A person broke down the silver-biscuit in the ratio of 3: 2: 1, and faces a loss of Rs 4620. Find the initial price of silver-biscuit.

1. 7520
2. 7530
3. 7450
4. 7560

15) B is inversely proportional to the cube of A. If B=3, A=2. If B = 8/9. Find the value of A.

1. 3
2. 5
3. 6
4. 4

16) Rs 7800 are distributed among A, B, and C. The share of “A” is the ¾ of the share of B, and the share of B is the 2/3 of the share of C. Find the difference between the share of B and C.

1. 1200
2. 1300
3. 1500
4. 800

17) A bag contains Rs 410 in the form of Rs 5, Rs 2, and Rs 1 coins. The number of coins is in the ratio 4: 6: 9. So, find the number of 2 Rupees coins.

1. 40
2. 50
3. 60
4. 70

18) The ratio of copper and zinc in a 63 kg alloy is 4: 3. Some amount of copper is extracted from the alloy, and the ratio becomes 10: 9. How much copper is extracted?

1. 8kg
2. 6kg
3. 12kg
4. 10kg

19) The ratio of land and water on earth is 1: 2. In the northern hemisphere, the ratio is 2: 3. What is the ratio in the southern hemisphere?

1. 1:11
2. 2:11
3. 3:11
4. 4:11

20) Vessels A and B contain mixtures of milk and water in the ratios 4: 5and 5: 1respectively. In what ratio should quantities of the mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5: 4?

1. 2: 5
2. 4: 3
3. 5: 2
4. 2: 3