Raheem sells a machine for RS.,48 lakh at a loss. Had he sold it for RS., 60 lakh, his gain would ha

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7.Profit and Loss

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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. $Rs.$ in lakh ?

A

$58$

B

$69.9$

C

$42$

D

$50$

Solution

Let the $C.P$ of machine $=₹ x$ lakhs

If $S.P =₹ 48$ lahks

Loss $=₹(x-48)$ lakhs

If $S.P =₹ 60$ lakhs

Gain $=₹(60-x)$ lakhs

Gain $=5 \times$ loss

$(60-x)=5 \times(x-48)$

$60-x=5 x-240$

$6 x=300$

$x=50$ lakhs

Standard 13

Quantitative Aptitude

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