A dealer sold a bicycle at a profit of 10 %. | vedclass

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Question

(D) Let the initial cost price $(CP)$ of the bicycle be $₹ x$.The initial selling price $(SP_1)$ at a profit of $10 \%$ is $SP_1 = x 	imes (1 + 0.10)

Vedclass · Accepted Answer

$2400$

Vedclass · Answer

(D) Let the initial cost price $(CP)$ of the bicycle be $₹ x$.The initial selling price $(SP_1)$ at a profit of $10 \%$ is $SP_1 = x 	imes (1 + 0.10) = 1.1x$.If the dealer had bought the bicycle at $10 \%$ less price,the new cost price $(CP_2)$ would be $CP_2 = x 	imes (1 - 0.10) = 0.9x$.If he sold it at $Rs. 60$ more than the original selling price,the new selling price $(SP_2)$ would be $SP_2 = 1.1x + 60$.Given that the gain in this scenario is $25 \%$,we have $SP_2 = CP_2 	imes (1 + 0.25) = 0.9x 	imes 1.25$.Equating the two expressions for $SP_2$:$1.1x + 60 = 0.9x 	imes 1.25$$1.1x + 60 = 1.125x$$1.125x - 1.1x = 60$$0.025x = 60$$x = \frac{60}{0.025} = \frac{60000}{25} = 2400$.Therefore,the cost price of the bicycle was $₹ 2400$.

$A$ dealer sold a bicycle at a profit of $10 \%$. Had he bought the bicycle at $10 \%$ less price and sold it at a price $Rs. 60$ more,he would have gained $25 \%$. The cost price of the bicycle was:

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