Quantitative Aptitude

1. 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.                                                                                   (2)

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

2. 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%?                                                 (1)

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

3. 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:                              (1)

1. 1. Rs. 18
2. 2. Rs. 18.50
3. 3. Rs. 19
4. 4. Rs. 19.50

4. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?                                                                                                       (2)

1. 1. 18 litres
2. 2. 24 litres
3. 3. 32 litres
4. 4. 42 litres

5. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:                                                          (3)

1. 1. 400 kg
2. 2. 560 kg
3. 3. 600 kg
4. 4. 640 kg