Question 6

Raghavendra sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 52 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

Solution

Let cost price of the machine = Rs. $$x$$ lakhs

When selling price = Rs. 43 lakhs

=> Loss = Rs. $$(x - 43)$$ lakhs

If selling price = Rs. 52 lakhs

=> Profit = Rs. $$(52 - x)$$ lakhs

According to ques, Profit = 5 $$\times$$ loss

=> $$(52 - x) = 5 \times (x - 43)$$

=> $$52 - x = 5x - 215$$

=> $$5x + x = 215 + 52 = 267$$

=> $$x = \frac{267}{6} = $$ Rs. $$44.5$$ lakhs

=> Ans - (C)

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