A dealer buys an article listed at Rs. 100 an | vedclass

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(B) The marked price $(M.P.)$ of the article is $Rs. 100$.First,calculate the effective cost price after successive discounts of $10\%$ and $20\%$:$Co

Vedclass · Accepted Answer

$91.08$

Vedclass · Answer

(B) The marked price $(M.P.)$ of the article is $Rs. 100$.First,calculate the effective cost price after successive discounts of $10\%$ and $20\%$:$Cost Price = 100 	imes (1 - 0.10) 	imes (1 - 0.20) = 100 	imes 0.90 	imes 0.80 = Rs. 72$.The dealer spends $10\%$ of this cost price on transportation:$Transportation Cost = 10\% 	ext{ of } 72 = 0.10 	imes 72 = Rs. 7.20$.The total cost price $(C.P.)$ is the sum of the purchase price and transportation cost:$Total C.P. = 72 + 7.20 = Rs. 79.20$.To earn a profit of $15\%$,the selling price $(S.P.)$ should be:$S.P. = Total C.P. 	imes (1 + 0.15) = 79.20 	imes 1.15 = Rs. 91.08$.

$A$ dealer buys an article listed at $Rs. 100$ and gets successive discounts of $10\%$ and $20\%$. He spends $10\%$ of the cost price on transportation. At what price should he sell the article to earn a profit of $15\%$? (in $Rs.$)

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