Question : A sugar solution of 3 litres contains 60% sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is:
Option 1: 30%
Option 2: 45%
Option 3: 50%
Option 4: 60%
Correct Answer: 45%
Solution : The quantity of sugar is 3 litres. Amount of sugar in solution $=\frac{60}{100} × 3 = 1.8$ litres If 1 litre of water is added, the new solution becomes = 3 + 1 = 4 litres Percentage of sugar in new solution $=\frac{1.8}{4}×100 = 45\%$ Hence, the correct answer is 45%.
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Question : If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?
Option 1: 30 litres
Option 2: 25 litres
Option 3: 20 litres
Option 4: 35 litres
Question : In a mixture of 25 litres, the ratio of acid to water is 4 : 1. Another 3 litres of water is added. The ratio of acid to water in the new mixture is:
Option 1: 5 : 2
Option 2: 2 : 5
Option 3: 3 : 5
Option 4: 5 : 3
Question : If 4 litres of water is evaporated on boiling from 12 litres of salt solution containing 7 percent salt, the percentage of salt in the remaining solution is:
Option 1: 10.5%
Option 2: 11.5%
Option 3: 12%
Option 4: 13%
Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Option 1: 12 : 5
Option 2: 14 : 3
Option 3: 7 : 4
Option 4: 9 : 4
Question : A milkman mixes water with milk and sells the mixture at the cost price of pure milk. The volume of water in litres to be mixed with each litre of milk to get a 25% profit is:
Option 1: $\frac{1}{4}$ litre
Option 2: $\frac{1}{5}$ litre
Option 3: $1\frac{1}{4}$ litre
Option 4: Cannot be calculated without knowing the cost price of milk.
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