Question 87

Raghunandan sells a machine for Rs 45 lakhs at a loss. Had he sold it for Rs 55 lakh, his gain would have been 9 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. 45 lakhs

=> Loss = Rs. $$(x - 45)$$ lakhs

If selling price = Rs. 55 lakhs

=> Profit = Rs. $$(55 - x)$$ lakhs

According to ques, Profit = 9 $$\times$$ loss

=> $$(55 - x) = 9 \times (x - 45)$$

=> $$55 - x = 9x - 405$$

=> $$9x + x = 405 + 55 = 460$$

=> $$x = \frac{460}{10} = $$ Rs. $$46$$ lakhs

=> Ans - (B)

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