Multiple choice

If the cost price of a calculator becomes 3.2 times of itself and selling price also increases by 125\% then new profit percentage is 76\%. Find initial profit percentage?

  1. 130%

  2. 140%

  3. 165%

  4. 150%

  5. None of these
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A Correct answer
Explanation

Let initial CP = x, initial SP = y, initial profit = (y - x)/x = p%. New CP = 3.2x. New SP increases by 125%, so new SP = y + 1.25y = 2.25y. New profit% = (2.25y - 3.2x)/(3.2x) = 76. Substituting y = x(1 + p/100) and solving: 2.25x(1 + p/100) - 3.2x = 0.76 × 3.2x. Simplifying: 2.25 + 0.0225p - 3.2 = 2.432. So 0.0225p = 3.382, thus p = 130%.

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