Question : Mixture A contains chocolate and milk in the ratio 4 : 3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5 : 6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:
Option 1: 35%
Option 2: 69%
Option 3: 31%
Option 4: 65%
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Correct Answer: 65%
Solution : The ratio of chocolate to milk in mixture A = 4 : 3 The ratio of chocolate to milk in mixture B = 5 : 2 Let 5 units taken from mixture A and 6 units taken from mixture B. The ratio of chocolate to milk in new mixture = $(5\times \frac{4}{7} + 6\times \frac{5}{7}):(5\times \frac{3}{7} + 6\times \frac{2}{7})$ = 50 : 27 Percentage of chocolate in new mixture = $\frac{\text{chocolate}}{\text{chocolate + milk}} \times 100$ = $\frac{50}{(50 + 27)} \times 100$ = 64.93% = 65% (approx) Hence, the correct answer is 65%.
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Question : In a mixture of 25 litres, the ratio of milk to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is:
Option 1: 5 : 1
Option 2: 5 : 2
Option 3: 5 : 3
Option 4: 5 : 4
Question : A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:
Option 1: $6 \frac{2}{3}$
Option 2: $5 \frac{2}{3}$
Option 3: $5 \frac{1}{3}$
Option 4: $6 \frac{1}{3}$
Question : A mixture contains milk and water in a ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.
Option 1: 7 litres
Option 2: 10 litres
Option 3: 5 litres
Option 4: 3 litres
Question : A can of water and milk mixture contains 60% milk. A part of this mixture is replaced by another mixture containing 50% milk and the percentage of milk was found to be 52%. The quantity of mixture replaced is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{2}{5}$
Question : In two blends of mixed tea, the ratios of Darjeeling to Assam tea are 4 : 7 and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling to Assam tea in the new mixture to 6 : 13 is:
Option 1: 22 : 35
Option 2: 26 : 35
Option 3: 35 : 78
Option 4: 13 : 22
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