The profit of store A increases from 20% to 24% while the profit of s
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06 Dec 2024, 10:13
We know that the profit of store A increases from $\(20 \%\)$ to $\(24 \%\)$ whereas the profit of store B decreases from $\(24 \%\)$ to $\(20 \%\)$; we need to compare the percentage increase in the profit of store A with the percentage decrease in the profit of store B.
Since the profit of store A increases from $\(20 \%\)$ to $\(24 \%\)$, the ratio of their original profit to the new profit is $\(20: 24=5: 6\)$, so the percentage increase in its profit is $\(\frac{6-5}{5} \times 100=\frac{1}{5} \times 100=20 \%\)$
Similarly the ratio of the original profit to the new profit of store B is $\(24: 20=6: 5\)$, so the percentage decrease in its profit is $\(\frac{5-6}{6} \times 100=-\frac{1}{6} \times 100=-16.66 \%\)$ i.e. a decrease of \(16.66\%\).
Hence column A quantity is greater than column B , so the answer is $\((\mathrm{A})\)$.