Multiple choice

A women sold an item at loss of $15 \%$. If she sold the item Rs. $96$ more, she gains $15\% $, what is the Cost Price of the item?

  1. Rs. $250$
  2. Rs. $296$
  3. Rs. $310$
  4. Rs. $320$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Loss 15% means SP1 = 0.85*CP. Gain 15% means SP2 = 1.15*CP. Difference = 0.3*CP = 96. CP = 96 / 0.3 = 320.

AI explanation

The difference between a 15 percent loss and a 15 percent gain is a 30 percent difference in the cost price. This 30 percent of the cost price equals the given price difference of 96 rupees. Using the formula Cost Price = (Difference in Price * 100) / Difference in Percentage, we get (96 * 100) / 30, which equals 320. The cost price is Rs. 320.

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