Question:

A book seller sold a box of 10 pencils for Rs. 80 and incurred a loss. Had he sold it for Rs. 98, his gain would have been twice the loss he incurred earlier. The cost price of the box of pencils is:

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When "gain is twice the loss", set up the equation using CP–SP relationships directly.
Updated On: Aug 13, 2025
  • Rs. 84
  • Rs. 86
  • Rs. 88
  • Rs. 90
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The Correct Option is B

Solution and Explanation

Let the cost price be Rs. $x$.
Loss in first case: $x - 80$.
Gain in second case: $98 - x$.
Given: Gain = 2 × Loss
$98 - x = 2(x - 80)$
$98 - x = 2x - 160$
$98 + 160 = 3x$
$258 = 3x$
$x = 86$ Rs.
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