# Ratio and Proportion

Q1. Two numbers are in the ratio 1½ : 5(2/3). When each one of these is increased by 15, their ratio become 1(2/3) : 2½ . The smaller of the number is
(a) 21
(b) 24
(c) 25
(d) 27

Q2. The expenses on rice, fish and oil of a family are in the ratio of 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family are increased by
(a) 25½ %
(b) 28(1/8) %
(c) 29¾ %
(d) 31(1/5) %

Q3. If y varies directly as (x + 4) and y = 6 when x = 1. What is the value of y when x = 2 ?
(a) 36/5
(b) 37/9
(c) 41/7
(d) 43/5

Q4. The monthly income of A and B are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 9. If each of them saves Rs. 600 per month, then their monthly incomes are
(a) Rs. 1600, Rs. 2400
(b) Rs. 1650, Rs. 2200
(c) Rs. 1800, Rs. 2600
(d) Rs. 1950, Rs. 2750

Q5. A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2 : 3 : 4. The number of 50 paise coins is
(a) 133
(b) 136
(c) 144
(d) 149

Q6. Two vessels A and B contain milk and water mixed in the ratio 5 : 3 and 2 :3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must taken in the ratio
(a) 1 : 3
(b) 3 : 5
(c) 4 : 5
(d) 5 : 7

Q7. In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 Kg of zinc is mixed in 17 Kg 500 gm of alloy, then the ratio of copper and zinc in the alloy will be
(a) 2 : 1
(b) 2 : 3
(c) 3 : 4
(d) 3 : 5

Q8. In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio is to be 1 : 2, the quantity of water to be further added is
(a) 30 liters
(b) 40 liters
(c) 50 liters
(d) 60 liters

Q9. A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk to water becomes 5 : 2. The quantity of milk in the original mixture is
(a) 25 liters
(b) 29 liters
(c) 33 liters
(d) 37 liters

Q10. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
(a) 36
(b) 39
(c) 42
(d) 47