Question 29

Rajan sells a machine for Rs 52 lakhs at a loss. Had he sold it for Rs 62 lakh, his gain would have been 9 times the former loss. What is the cost price of the machine?

Solution

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

Selling price = Rs. 52 lakhs

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

If he sold it for Rs 62 lakh, his gain = Rs. $$(62 - x)$$ lakhs

According to ques, => $$(62 - x) = 9 \times (x - 52)$$

=> $$62 - x = 9x - 468$$

=> $$9x + x = 62 + 468 = 530$$

=> $$x = \frac{530}{10}$$ = Rs. 53 lakhs

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