The ratio of the earnings of A and B is 4 : 7 | vedclass

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(D) Let the initial earnings of $A$ be $4k$ and $B$ be $7k$,where $k$ is a constant.After an increase of $50\%$ in $A$'s earnings,the new earnings of

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Data inadequate

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(D) Let the initial earnings of $A$ be $4k$ and $B$ be $7k$,where $k$ is a constant.After an increase of $50\%$ in $A$'s earnings,the new earnings of $A = 4k 	imes (1 + 0.50) = 4k 	imes 1.5 = 6k$.After a decrease of $25\%$ in $B$'s earnings,the new earnings of $B = 7k 	imes (1 - 0.25) = 7k 	imes 0.75 = 5.25k$.The new ratio is given as $\frac{6k}{5.25k} = \frac{6}{5.25} = \frac{600}{525} = \frac{8}{7}$.Since the ratio holds true for any value of $k$,the specific value of $k$ cannot be determined from the given information.Therefore,the actual earnings of $A$ cannot be calculated. The data is inadequate.

The ratio of the earnings of $A$ and $B$ is $4 : 7$. If the earnings of $A$ increase by $50\%$ and those of $B$ decrease by $25\%$,the new ratio of their earnings becomes $8 : 7$. What are $A$'s earnings?

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