Twelve percent of bananas bought by a fruit vendor got lost during transportation. On selling the remaining bananas, the vendor's overall profit turned out to be 4%. If the vendor had <strong>NOT</strong> lost any bananas and had sold them at the price of the remaining bananas, what would have been his profit percentage?

  1. A. 8\frac{1}{9}\%
  2. B. 9\frac{1}{11}\%
  3. C. 18\frac{2}{11}\% ✓
  4. D. None of the above

Correct Answer: C. 18\frac{2}{11}\%

Explanation

Assume the vendor bought 100 bananas for 100 units. He sold the remaining 88 bananas for 104 to make a 4% overall profit. The selling price per banana is \frac{104}{88} = \frac{13}{11}. For all 100 bananas, revenue would be 100 \times \frac{13}{11} = \frac{1300}{11} = 118\frac{2}{11}. The profit is 18\frac{2}{11}\%.

Related questions on Arithmetic

Practice more CDS Elementary Mathematics questions