ALLIGATIONS PRACTICE SET-1

1. 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off
in the examination. If the total percentage of students qualifying is 65%, how many girls appeared
in the examination?
(a) 100
(b) 120
(c) 150
(d) 300

2. A man purchased a cow and a calf for ` 1300. He sold the calf at a profit of 20% and the cow at a
profit of 25%. In this way, his total profit was 23 %. Find the cost price of the cow.
(a)  1100
(b)  600
(c)  500 
(d)  800

3. A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be
added to the above mixture to make the water 12.5% of the resulting mixture?
(a) 1 litre
(b) 1.5 litre
(c) 2 litre
(d) 2.5 litre

4. A merchant purchased two qualities of pulses at the rate of ` 200 per quintal and ` 260 per quintal.
In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by
selling the resulting mixture at ` 300 per quintal, he gains a profit of 25%?
(a) 100 quintal
(b) 104 quintals
(c) 26 quintals
(d) None of these

5.Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil
to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger
container. What is the resulting ratio of oil to water?
(a) 149 : 247
(b) 247 : 149
(c) 143 : 241
(d) 241 : 143



Answer key: 1. (a) 2.(d)  3.(d) 4.(d) 5. (a)