Raman sells a machine for Rs. 39 lakh at a lo | vedclass

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(D) Let the cost price $(C.P.)$ of the machine be $Rs. x$ lakh.When the machine is sold for $Rs. 39$ lakh,the loss is given by:$	ext{Loss} = C.P. - S

Vedclass · Accepted Answer

$41.5$

Vedclass · Answer

(D) Let the cost price $(C.P.)$ of the machine be $Rs. x$ lakh.When the machine is sold for $Rs. 39$ lakh,the loss is given by:$	ext{Loss} = C.P. - S.P. = (x - 39)$ lakh.When the machine is sold for $Rs. 49$ lakh,the gain (profit) is given by:$	ext{Gain} = S.P. - C.P. = (49 - x)$ lakh.According to the problem,the gain is three times the loss:$(49 - x) = 3(x - 39)$Expanding the equation:$49 - x = 3x - 117$Rearranging the terms to solve for $x$:$49 + 117 = 3x + x$$166 = 4x$$x = \frac{166}{4} = 41.5$Therefore,the cost price of the machine is $Rs. 41.5$ lakh.

Raman sells a machine for $Rs. 39$ lakh at a loss. Had he sold it for $Rs. 49$ lakh,his gain would have been three times the loss. What is the cost price of the machine? (in $Rs. \text{ lakh}$)

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