a dealer gets Rs.56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 8%. what is the CP of the chair?

*x*.

When it is sold at a gain of 8%.

Then, selling price of chair = $x+\frac{8x}{100}=\frac{108x}{100}$

When it is sold at a gain of 15%.

Then, selling price of chair = $x+\frac{15x}{100}=\frac{115x}{100}$

Now, according to the question, a dealer gets Rs.56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 8%

So we have;

$\frac{115x}{100}-\frac{108x}{100}=56\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{7x}{100}=56\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{56\times 100}{7}=800$

Therefore the cost price of chair is Rs.800.

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