Raheem sells a machine for RS. 48 lakh at a l | vedclass

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Question

(D) Let the cost price $(C.P.)$ of the machine be $₹ x$ lakhs.When the selling price $(S.P.)$ is $₹ 48$ lakhs,the loss is given by:Loss $= C.P. - S.P.

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(D) Let the cost price $(C.P.)$ of the machine be $₹ x$ lakhs.When the selling price $(S.P.)$ is $₹ 48$ lakhs,the loss is given by:Loss $= C.P. - S.P. = (x - 48)$ lakhs.When the selling price $(S.P.)$ is $₹ 60$ lakhs,the gain is given by:Gain $= S.P. - C.P. = (60 - x)$ lakhs.According to the problem,the gain is $5$ times the former loss:$(60 - x) = 5 	imes (x - 48)$Expanding the equation:$60 - x = 5x - 240$Rearranging the terms to solve for $x$:$60 + 240 = 5x + x$$300 = 6x$$x = 300 / 6$$x = 50$Therefore,the cost price of the machine is $₹ 50$ lakhs.

Raheem sells a machine for $RS. 48$ lakh at a loss. Had he sold it for $RS. 60$ lakh,his gain would have been $5$ times the former loss. Find the cost price of the machine in lakh $Rs.$?

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