Multiple choice

Anil bought two articles A and B at a total cost of Rs. 10,000. He sold the article A at 15% profit and the article B at 10% loss. In the whole deal, he made no profit or no loss. Find the selling price of the article A.

  1. Rs. 4,200

  2. Rs. 5,200

  3. Rs. 4,800

  4. Rs. 4,600

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let cost price of A = x, then cost price of B = (10000 - x). Selling price of A = 1.15x (15% profit), selling price of B = 0.9(10000 - x) (10% loss). Since there's no profit or loss overall: 1.15x + 0.9(10000 - x) = 10000. Solving: 1.15x + 9000 - 0.9x = 10000, so 0.25x = 1000 and x = 4000. Therefore, selling price of A = 1.15 × 4000 = Rs. 4,600.