Multiple choice

Sumit bought 9 books for Rs.100 but sold 8 for Rs.100. What is his profit percentage?

  1. 14.5%

  2. 13.5%

  3. 12.5%

  4. 11.5%

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP of 9 books = 100, so CP of 1 book = 100/9. SP of 8 books = 100, so SP of 1 book = 100/8. Profit per book = 100/8 - 100/9 = (900 - 800) / 72 = 100/72. Profit % = (Profit / CP) * 100 = (100/72) / (100/9) * 100 = (9/72) * 100 = 1/8 * 100 = 12.5%.

AI explanation

Sumit's cost price for 9 books is Rs. 100, meaning the cost price of one book is 100/9. He sells 8 books for Rs. 100, making the selling price of one book 100/8. Using the Profit Percentage formula, ((Selling Price - Cost Price) / Cost Price) x 100, the calculation is ((100/8 - 100/9) / (100/9)) x 100. This simplifies to ((100/72) / (100/9)) x 100 = (9/72) x 100 = 12.5%. His profit percentage is 12.5%.

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