Alligation deals with the calculation of values or properties of a mixture. Alligation is the enabler us- to find the proportion the two or more ingredients at the given price must be mixed to yield a mixture at the given price. This is term as alligation alternate, to calculate the average or mean value of a mixture when the prices of two or more ingredients which are to be mixed together and proportion in which they are to be mixed are given. This is termed as Alligation Medial. So take this quiz and check your knowledge about mixture and alligation.
1. In what proportion must tea at rupees 62 per kg be mixed with tea at rupees 72 per kg in order to obtain the mixture worth rupees 65 per kg?
A. 4:6
B. 7:3
C. 3:7
D. 4:7
2. Find the quantity of rice at rupees 10 per kg, which should be mixed with 25 kgs of rice at rupees 8 per kg, so that on selling the mixture at 15 rupees per kg there is 80% profit.
A. 6 kgs
B. 3 kgs
C. 7 kgs
D. 5 kgs
3. A shopkeeper buys 26 kg of milk at rupees 16 per kg. He also buys from another source an inferior quality of milk at rupees 10 per kg. How much quantity of the latter should he buy to mix it with the former so that he can sell the mixture at rupees 14 per kg without making any loss?
A. 13 kg
B. 12 Kg
C. 14 kg
D. 10kg
4. Two vessels a and b contain milk and water in the ratio 7:5 and 17:7 respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 :3?
A. 1:3
B. 1:2
C. 2:1
D. 3:1
5. A and B contain mixture of milk and water in the ratio 4:1 and 9:11 respectively. They are mixed in the ratio of 3:2. Find the ratio of milk: Water in the resulting mixture.
A. 34 :16
B. 16:34
C. 17:33
D. 33:17
6. A person Has two solution of sugar with 30% and 50% concentration respectively. In what proportion should he mix two solutions to get 45% concentration in the resulting mixture?
A. 1:3
B. 3:1
C. 2:3
D. 3:1
7. 6 liters of milk and water mixture has 75% milk and it. How much milk should be added to the mixture to make its 90% pure?
A. 8 litres
B. 9 litres
C. 10 litres
D. 11 litres
8. In what ratio must water be added to the spirit to gain 25% by selling it at cost price?
A. 4:3
B. 3:4
C. 1:4
D. 4:1
9. A shopkeeper has 50 kgs of rice. He sells a part of it at 20% profit and the rest at 40% profit. If he gains 25% on the whole find the quantity of each part.
A. 37.5 kg and 12.5 kg
B. 15 kg and 5kg
C. 21.5 kg and 23.5 kg
D. None of these
10. A shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part.
A. 20 kg
B. 39 kg
C. 25 kg
D. None of these
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