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Q61

The ratio of the quantities of sugar, in which sugar costing Rs. 20 per kg and Rs. 15 per kg, should be mixed so that here will be neither loss nor gain on selling the mixed sugar at the rate of Rs. 16 per kg, is -

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Q62

The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is -

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Q63

A shopkeeper bought 15 kg of rice at the rate of Rs. 29 per kg and 25 kg of rice at the rate of Rs. 20 per kg. He sold the mixture of both types of rice at the rate of Rs. 27 per kg. His profit in this transaction is -

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Q64

Lala has lent some money to Arun at 5% p.a. and Bhatia at 8% p.a. At the end of the year, he has gained an overall interest at the rate 6%. In what ratio has he lent the money to Arun and Bhatia ?

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Q65

The ratio of milk and water in mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is the quantity of milk, relative to water, minimum ?

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Q66

In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32 ?

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Q67

Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirits and water is 4 : 1, in 2nd container the ratio is 11 : 4 and on the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is ?

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Q68

Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquid of both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

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Q69

Two vessels A and B contains acid and water in the ratio 4 : 3 and 5 : 3 respectively. Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is -

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Q70

The ratio of spirit and water in two mixtures of 20 litres and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is ?

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Q71

The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?

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Q72

A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:

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Q73

A milkman borrowed a sum of Rs. 2,500 from two moneylenders for one loan on simple interest at the rate of 5% and 7%, respectively, for a period of 2 years. If the total interest paid by him was Rs. 276, then how much did he borrow at the rate of 7% p.a.?

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Q74

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

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Q75

A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and

7 \frac{1}{2}

litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

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Q76

The price of a variety of a commodity is Rs. 7 per kg and that of another is Rs. 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is Rs. 10 per kg.

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Q77

A milkman has a 15 litres drum with 9 litres milk. He filled the drum with water and now takes out

\frac{1}{2}

litre of the mixture. What is the quantity of milk (in millilitres) in the mixture taken out?

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Q78

In what ratio must 45% grape juice be mixed with that of 25% grape juice so as to get a mixture of 40% grape juice?

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Q79

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 liters of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

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Q80

40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?

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