Alligation and Mixture Worksheet-1
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In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?
(a) 3 : 7 (b) 5 : 7 (c) 7 : 3 (d) 7 : 5
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Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
(a) 1 : 3 (b) 2 : 3 (c) 3 : 4 (d) 4 : 5
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In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?
(a) 3 : 1 (b) 3 : 2 (c) 4 : 3 (d) 5 : 3
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In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre ?
(a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 3 : 2
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The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
(a) Rs. 18 (b) Rs. 18.50 (c) Rs. 19 (d) Rs. 19.50
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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs.68.20 a kg he may gain 10%?
(a) 3 : 2 (b) 3 : 4 (c) 3: 5 (d) 4 : 5
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How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
(a) 36 kg (b) 42 kg (c) 54 kg (d) 63 kg
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In what ratio must water be mixed with milk to gain
on selling the mixture at cost price ?
(a) 1 : 6 (b) 6 : 1 (c) 2 : 3 (d) 4 : 3
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A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
(a) 4% (b) 
(c) 20% (d) 25%
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Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?
(a) 4 : 3 (b) 3 : 4 (c) 5 : 6 (d) 7 : 9
Answer Key:
(1)-c; (2)-b; (3)-a; (4)-a; (5)-a; (6)-a; (7)-d; (8)-a; (9)-c; (10)-d
