Question 8

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

Solution

Let income (in Rs.) of S = $$3x$$ and income of T = $$4x$$

Let expenditure (in Rs.) of S = $$y$$ and expenditure of T = $$y$$

Savings of S = $$3x-y=4000$$ ----------(i)

Similarly, $$4x-y=22000$$ ---------(ii)

Subtracting equation (i) from (ii), => $$4x-3x=22000-4000$$

=> $$x=18000$$

$$\therefore$$ Income of S = $$3\times18000=Rs.$$ $$54,000$$

=> Ans - (B)

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