Question 94

Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16:9 respectively. What are A's earnings?

Solution

Let the earnings of A and B be Rs. $$8x$$ and $$9x$$ respectively.

A's new earnings after 50 % increase = $$8x + \frac{50}{100} \times 8x = 12x$$

B's new earnings after 25 % decrease = $$9x - \frac{25}{100} \times 9x = \frac{27x}{4}$$

=> Required ratio = $$\frac{12x}{\frac{27x}{4}}$$

= $$\frac{16}{9}$$ , which is already given.

Thus, we cannot determine A's earnings.

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