Question:

A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price of the machine?

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In percentage-based profit and loss problems, always use fractional multipliers to simplify calculations.
Updated On: Mar 7, 2025
  • Rs. 175
  • Rs. 200
  • Rs. 225
  • None of these
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The Correct Option is B

Solution and Explanation

Let the cost price be \( x \).
Selling price at 10% profit: \[ 1.1x \] Selling price at 10% loss: \[ 0.9x \] Given that the difference between these prices is Rs. 40: \[ 1.1x - 0.9x = 40 \] \[ 0.2x = 40 \] \[ x = \frac{40}{0.2} = 200 \] Thus, the cost price of the machine is Rs. 200.
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