The ratio of the incomes of A and B is 2 : 3 and that of their expenditure is 1 : 2. If 90% of B’s expenditure is equal to the income of A, then what is the ratio of the savings of A and B?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 8 : 7
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Understanding |
Application |
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The ratio of the incomes of A and B is 2 : 3 Suppose 2x & 3x The ratio of expenditure is 1 : 2 Suppose y & 2y
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Given 90% of B’s expenditure is equal to the income of A: 0.9 × 2y = 2x y/x = 10/9 Ratio of the savings of A and B = [2x – y]/[3x – 2y] = x(2 – y/x)/x(3 – 2y/x) Putting y/x = 10/9 = (2 – 10/9)/(3 – 20/9) = (8/9)/(7/9) = 8/7 |