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MIXTURE & ALLIGATION
(Set – 2)

1) The present population of a town is 5000. If the number of the males is increases by 10% while
the number of the females increases by 15%; the population of the town increases to 5600. Find
the numbers of the males:
1. Before the increase 2. After the increase
2) Weights of two friends Ram and Shyam are in the ratio of 4:5. Ram’s weight increases by 10%
and the total weight of Ram and Shyam together becomes 82.8 kg, with an increase of 15%.
What in the increased weight of Shyam?
(a) 37.6 (b) 35 (c) 45.5 (d) 47.6 (e) None of these
3) A man buys two horses for Rs.1350 and sells one so as to lose 6% and the other so as to gain
7.5% and on the whole he neither gains nor loses. Find the difference of the cost price of the
horses?
(a) 120 (b) 135 (c) 150 (d) 165 (e) None of these
4) A trader has 50 kg of rice, a part of which he sells at 10 percent profit and the rest at 5 percent
loss. He gains 7 percent on the whole. What is the quantity sold at 10 percent gain and 5 percent
loss?
30 kg, 20 kg (b) 35 kg, 15 kg (c) 46 kg, 4 kg (d) 40 kg, 10 kg (e) None of these
5) One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled
with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture
is:
(a) 27% (b) 31% (c) 29% (d) 33% (e) None of these
6) A mixture of certain quantity of milk with 16 litres of water is worth 90 paisa per litre. If pure
milk be worth Rs 1.08 per liter, how much milk is there in the mixture?
(a) 50 (b) 80 (c) 75 (d) 90 (e) None of these
7) In 1kg mixture of sand and iron, 20% is iron. How much sand should be added, so that the proportion
of iron becomes 5% ?
(a) 3 kg (b) 4 kg (c) 5 kg (d) 6 kg (e) None of these
8) Mr X mixed 10 kg of variety A rice with 15 kg of variety
B rice and sold the mixture at a price 40% more than that
of A. He did not get any profit. What is the ratio
of the cost price of variety A to that of B per kg?
(a) 2 : 5 (b) 3 : 5 (c) 4 : 5 (d) 5 : 8 (e) None

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