Multiple choice

A man purchased some fruits, out of which 20% were damaged. So, he sold the damaged fruits for half of the market price and sold the rest at the market price. Finally, he got 25% profit. What percentage is the market price more than the cost price?

  1. 30%

  2. 39%

  3. 50%

  4. 59%

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100 per unit. 20 units damaged, 80 units good. Sold 20 at 0.5M and 80 at M. Total revenue = 90M. Profit 25% means total revenue = 125. 90M = 125, M = 125/90 = 1.388. Market price is 38.8% more than cost price.

AI explanation

Assume the man buys 100 fruits for a cost price of Rs. 100, making the cost price per fruit Re. 1. Let the market price be M; he sells 20 damaged fruits at M/2 and 80 good fruits at M, giving a total revenue of 10M + 80M = 90M. Since he makes a 25% profit, his revenue is Rs. 125, so 90M = 125 and M = 125/90 = 1.388. The market price is (1.388 - 1) divided by 1 times 100, which equals 39%.

Keep practicing — related questions