The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?
The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?
ARs 26,000
BRs 28, 000
CRs 21,000
DData inadequate
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Correct answer is: Data inadequate
Explanation:
The ratio of the earnings of A and BB is 4:7
Let Earnings of A=4k
Earnings of B=7k
Earnings of A now becomes 4k+\(\frac{1}{2}\)×4k=4k+2k=6k
Earnings of B now becomes 7k−\(\frac{1}{4}\)×7k=\(\frac{3}{4}\)×7k=\(\frac{21k}{4}\)
Now ratio of earnings are \(\frac{6}{\frac{21}{4}}\)=\(\frac{24}{21}\)=\(\frac{8}{7}\)
Hence the Data is Inadequate.
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