Multiple choice

I sold a book at a profit of $12$%. Had I sold it for $18$ Paise more, $18$% would have been gained. Find the cost price

  1. $Rs. 12$
  2. $Rs. 3$
  3. $Rs. 9$
  4. $Rs. 11$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Profit 1 = 0.12x. Profit 2 = 0.18x. Difference = 0.06x = 18 Paise. x = 18 / 0.06 = 300 Paise = Rs. 3.

AI explanation

Using the differential profit percentage method, the difference in selling prices corresponds to the difference in profit percentages, so (18% - 12%) of the Cost Price = Rs. 0.18. Solving the equation 6% of Cost Price = 0.18, or 0.06 * Cost Price = 0.18, gives a cost price of Rs. 3.

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