A merchant purchases a wrist watch for ₹ 450 | vedclass

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Question

(B) Let the list price (marked price) of the wrist watch be $₹ x$.The selling price after allowing a discount of $10 \%$ is given by:$SP = x 	imes \l

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(B) Let the list price (marked price) of the wrist watch be $₹ x$.The selling price after allowing a discount of $10 \%$ is given by:$SP = x 	imes \left(1 - \frac{10}{100}ight) = x 	imes 0.9 = \frac{9x}{10}$.The cost price $(CP)$ is $₹ 450$. The merchant earns a profit of $20 \%$.Therefore,the selling price is also given by:$SP = CP 	imes \left(1 + \frac{	ext{Profit} \%}{100}ight) = 450 	imes \left(1 + \frac{20}{100}ight) = 450 	imes 1.2 = 540$.Equating the two expressions for the selling price:$\frac{9x}{10} = 540$.Solving for $x$:$x = \frac{540 	imes 10}{9} = 60 	imes 10 = 600$.Thus,the list price of the wrist watch is $₹ 600$.

$A$ merchant purchases a wrist watch for $₹ 450$ and fixes its list price in such a way that after allowing a discount of $10 \%$,he earns a profit of $20 \%$. Then the list price (in rupees) of the wrist watch is

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