If the cost price of an item is frac{2}{5} of | vedclass

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Question

(D) Let the marked price of the article be $₹ x$.
According to the question:
Cost Price $(C.P.)$ $= \frac{2x}{5}$.
Since the discount is $10 \%$,th

Vedclass · Accepted Answer

$125 \%$ profit

Vedclass · Answer

(D) Let the marked price of the article be $₹ x$.
According to the question:
Cost Price $(C.P.)$ $= \frac{2x}{5}$.
Since the discount is $10 \%$,the Selling Price $(S.P.)$ is:
$S.P. = x - (10 \% 	ext{ of } x) = x - 0.1x = 0.9x = ₹ \frac{9x}{10}$.
Gain $= S.P. - C.P. = \frac{9x}{10} - \frac{2x}{5} = \frac{9x - 4x}{10} = \frac{5x}{10} = \frac{x}{2}$.
Gain percent $= \left( \frac{	ext{Gain}}{C.P.} 	imes 100 ight) \%$.
Gain percent $= \left( \frac{x/2}{2x/5} 	imes 100 ight) \% = \left( \frac{x}{2} 	imes \frac{5}{2x} 	imes 100 ight) \% = \left( \frac{5}{4} 	imes 100 ight) \% = 125 \%$.
Therefore,there will be a $125 \%$ profit.

If the cost price of an item is $\frac{2}{5}$ of its marked price and if it is sold at a discount of $10 \%,$ then there will be

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