Question discussion

Rajesh sells a machine for Rs. 57 lakhs at some loss. Had he sold it for Rs. 67 lakh, his gain would have been 7 times the former loss. Fin…

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Rajesh sells a machine for Rs. 57 lakhs at some loss. Had he sold it for Rs. 67 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.
  • ARs. 58.25 lakhs
  • BRs. 65.75 lakhs
  • CRs. 75.14 lakhs
  • DRs. 50.75 lakhs
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Discussion 1

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Let the loss be x

? Selling price = 57 lakhs

Selling price = cost price – loss = 57 lakhs

If the selling price would have been 67 lakhs

Then, gain = 7x

∴ Selling price = 67 lakhs

Cost price + 7x = 67 lakhs

Also, cost price – x = 57 lakhs

Subtracting the above 2 eqns. We get,

8x = 10 lakhs

x = 1.25 lakhs

∴ cost price = Selling price + loss = 57 + 1.25

Cost price = 58.25 lakhs