A shopkeeper wishes to give 5 % commission on | vedclass

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Question

(B) Let the marked price be $₹ x$.The selling price after giving a $5 \%$ commission on the marked price is:$SP = x 	imes \left( \frac{100 - 5}{100}

Vedclass · Accepted Answer

$110$

Vedclass · Answer

(B) Let the marked price be $₹ x$.The selling price after giving a $5 \%$ commission on the marked price is:$SP = x 	imes \left( \frac{100 - 5}{100} ight) = \frac{95x}{100} = 0.95x$.The cost price is given as $₹ 95$,and the shopkeeper wants a profit of $10 \%$. The selling price can also be calculated as:$SP = CP 	imes \left( \frac{100 + 	ext{Profit } \%}{100} ight) = 95 	imes \left( \frac{100 + 10}{100} ight) = 95 	imes 1.1 = ₹ 104.5$.Equating the two expressions for the selling price:$0.95x = 104.5$$x = \frac{104.5}{0.95} = 110$.Therefore,the marked price is $₹ 110$.

$A$ shopkeeper wishes to give $5 \%$ commission on the marked price of an article but also wants to earn a profit of $10 \%$. If his cost price is $₹ 95$,then the marked price is (in $₹$):

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