Study Materials for IBPS, Bank Exams : Numerical Ability/Quantitative Aptitude - Alligation or Mixture [MCQ]

1. 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. 3 : 2
2. 6 : 7
3. 3 : 5
4. 4 : 5
5. 4 : 3

2. 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?

1. 38 kg
2. 43 kg
3. 54 kg
4. 63 kg
5. 48 kg

3. 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?

1. 5 : 3
2. 9 : 4
3. 5 : 6
4. 7 : 9
5. 3 : 7

4. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

1. 9 litres, 8 litres
2. 6 litres, 6 litres
3. 6 litres, 7 litres
4. 7 litres, 5 litres
5. 4 litres, 5 litres

5. One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs. 10 per kg, what is the rate per kg of the second quality of wheat?

1. Rs. 12
2. Rs. 10.60
3. Rs. 10.80
4. Rs. 15
5. Rs. 13

6. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

1. Rs. 187
2. Rs. 172
3. Rs. 175.50
4. Rs. 180
5. Rs. 185

7. 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:

1. 460 kg
2. 660 kg
3. 600 kg
4. 640 kg
5. 450 kg