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

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(D) Let the initial earnings of $A$ and $B$ be $4x$ and $7x$ respectively.After an increase of $50\%$,the new earnings of $A = 4x 	imes (1 + 0.50) =

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Data inadequate

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(D) Let the initial earnings of $A$ and $B$ be $4x$ and $7x$ respectively.After an increase of $50\%$,the new earnings of $A = 4x 	imes (1 + 0.50) = 4x 	imes 1.5 = 6x$.After a decrease of $25\%$,the new earnings of $B = 7x 	imes (1 - 0.25) = 7x 	imes 0.75 = 5.25x$.The new ratio is $6x : 5.25x = 6 : 5.25 = 600 : 525 = 8 : 7$.Since the ratio $8:7$ is consistent with the given information for any value of $x$,the specific value of $A$'s earnings cannot be determined without an absolute value provided in the problem statement.Therefore,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 (in $Rs.$)?

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