Mixture & Alligations

Q. Mr. Mittal purchased two steel factories, one in india and other one in Malaysia for total Rs. 72 crores. Later on he sold the Indian factory at 16% profit and Malaysian factory at 24% profit. Thus he gained a total profit of 19%. The selling price of Indian factory is :

1. 8.55 crore
2. Cannot be determined
3. 45 crore
4. 52.2 crore

Q. 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?

1. 120
2. 150
3. 100
4. 300

Q. A 20 percent gain is made by selling the mixture of two types of ghee at Rs 480 per kg. If the type costing 610 per kg was mixed with 126 kg of the other, how many kilograms of the former was mixed?

1. 69 kg
2. 138 kg
3. 34.5 kg
4. Cannot be determined

Q. A trader sold total 315 TV sets. He sold black and white TV sets at a loss of 6% and colour TV sets at a profit of 15%. Thus he gains 9% on the whole. The number of black and white TV sets, which he has sold, is :

1. 126
2. 216
3. 135
4. 90

Q. If a man decides to travel 80 kilometres in 8 hours partly by foot and partly on a bicycle, his speed on foot being 8 km/h and that on bicycle being 16 km/h, what distance would he travel on foot?

1. 20 km
2. 30 km
3. 48 km
4. 60 km

Q. The price of a pen and a pencil is Rs 35. The pen was sold at a 20% profit and the pencil at a 10% loss. If in the transaction a man gains Rs 4. How much is cost price of the pen?

1. Rs 10
2. Rs 25
3. None of these
4. Rs 20

Q. A bartender stole champagne from a bottle that comtained 50% of spirit and he replaced what he had stolen with champagne having 20% spirit. The bottle then contained only 25% spirit. How much of the bottle did he steal?

1. 85.71%
2. 88.88%
3. 80%
4. 83.33%

Q. From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out & was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9 :16. The quantity of mixture is :

1. 25
2. 15
3. 16
4. 31

Q. In what proportion water be mixed with spirit to gain 12.5% by selling it at cost price?

1. 3 : 5
2. 1 : 8
3. 1 : 9
4. 2 : 7

Q. A man possessing Rs 6800, lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after $3\frac{1}{2}$ years was Rs 1904. Find the sum lent at 10% rate.

1. Rs 1700
2. Rs 1260
3. Rs 1360
4. None of these