Question 56

The ratio of incomes of A and B is 3 : 8 and the ratio of their savings is 9 : 25. If the income of A equals the expenditure of B, then the ratio of expenditures of A and B is:

Solution

Let ratio of Incomes of A and B = 3x and 8x

Let ratio of savings of A and B = 9y and 25y

Given in the question,

the income of A equals the expenditure of B

i.e; 3x = 8x - 25y

i.e; 5x = 25y

i.e; $$\frac{x}{y}=\frac{5}{1}$$

Expenditure of A = 3x - 9y = $$\left(3\times\ 5\right)-\left(9\times\ 1\right)=6$$

Expenditure of B = 8x - 25y = $$\left(8\times\ 5\right)-\left(25\times\ 1\right)=15$$

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