Question 154

Ratio of the earnings of A and B is 4 : 7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25% the new ratio of their earnings becomes 8 : 7 respectively. What are A’s earnings ?

Solution

Let earnings of A = Rs. $$400x$$

and earnings of B = Rs. $$700x$$

=> A's new earnings after 50% increase = $$\frac{150}{100} * 400x = 600x$$

B's new earnings after 25% decrease = $$\frac{75}{100} * 700x = 525x$$

Ratio = $$\frac{600x}{525x} = \frac{8}{7}$$

But, their total earnings are unknown. Hence A's earnings can't be known

=> Data inadequate.

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