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Question 40
The ratio of the income of A to that of B is 5 : 7. A and B save ₹4,000 and ₹5,000 respectively. If the expenditure of A is equal to $$66\frac{2}{3}\%$$ of the expenditure of B, then the total income of A and B is:
Solution
The ratio of the income of A to that of B = 5 : 7
Let the income of A and B be 5x and 7x.
Expenditure of A = 5x - 4000
Expenditure of B = 7x - 5000
The expenditure of A = $$66\frac{2}{3}\%$$ of the expenditure of B,
5x - 4000 = (7x - 5000)$$\times \frac{2}{3}$$
15x - 12000 = 14x - 10000
x = 2000
Total income of A and B = 5x + 7x = 12x = 12 $$\times$$ 2000 = 24000
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