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(A) Let the marked price be $Rs.\, x$.In the first case,with a single discount of $30 \%$,the selling price $(S.P._1)$ is:$S.P._1 = x 	imes (1 - 0.30

Vedclass · Accepted Answer

$3600$

Vedclass · Answer

(A) Let the marked price be $Rs.\, x$.In the first case,with a single discount of $30 \%$,the selling price $(S.P._1)$ is:$S.P._1 = x 	imes (1 - 0.30) = 0.70x$.In the second case,with successive discounts of $20 \%$ and $10 \%$,the effective discount is calculated as:Effective Discount $= 20 + 10 - \frac{20 	imes 10}{100} = 30 - 2 = 28 \%$.Therefore,the selling price $(S.P._2)$ is:$S.P._2 = x 	imes (1 - 0.28) = 0.72x$.The difference between the two selling prices is given as $Rs.\, 72$:$0.72x - 0.70x = 72$$0.02x = 72$$x = \frac{72}{0.02} = \frac{7200}{2} = 3600$.Thus,the marked price is $Rs.\, 3600$.

If on a marked price,the difference between the selling prices with a single discount of $30 \%$ and two successive discounts of $20 \%$ and $10 \%$ is $Rs.\, 72$,then the marked price (in $rupees$) is:

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