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A solution of milk and water contains milk and water in the ratio of 3 : 2. Another solution of milk and water contains milk and water in the ratio of 2 : 1. Forty litres of the first solution is mixed with 30 litre of the second solution. The ratio of milk and water in the resultant solution is:1. 22 : 132. 13 : 223. 6 : 54. 5 : 6 |
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Answer» Correct Answer - Option 1 : 22 : 13 Given: Volume of first solution = 40 liters Ratio of milk and water in first solution = 3 : 2 Volume of second solution = 30 liters Ratio of milk and water in second solution = 2 : 1 Calculation: Volume of milk in first solution = (3/5) × 40 liters ⇒ 24 liters Volume of water in first solution = (2/5) × 40 liters ⇒ 16 liters Volume of milk in second solution = (2/3) × 30 liters ⇒ 20 liters Volume of water in second solution = (1/3) × 30 liters ⇒ 10 liters Volume of milk in new mixture = Volume of milk in first solution + Volume of milk in second solution ⇒ (24 + 20) liters ⇒ 44 liters Volume of water in new mixture = Volume of water in first solution + Volume of water in second solution ⇒ (16 + 10) liters ⇒ 26 liters Ratio of milk and water in mixture = 44/26 ⇒ 22/13 ⇒ 22 : 13 ∴ The ratio of milk and water in the resultant solution is 22 : 13
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