Multiple choice

Ram purchases two watches for Rs.3,500. By selling one watch at a profit of 25 percent and the other at a loss of 10 percent he neither earns profit nor suffers loss in the whole transaction. What is the cost price of each watch?

  1. Rs. 1500 and Rs. 2000

  2. Rs. 1500 and Rs. 1720

  3. Rs. 1000 and Rs. 2500

  4. Rs. 1250 and Rs. 2250

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

Let the cost prices be x and y, where x + y = 3500. Selling one at 25% profit: 1.25x. Selling other at 10% loss: 0.9y. Total: 1.25x + 0.9y = 3500 (no profit, no loss). Substitute y = 3500 - x: 1.25x + 0.9(3500 - x) = 3500. 1.25x + 3150 - 0.9x = 3500. 0.35x = 350. x = 1000. Then y = 3500 - 1000 = 2500. The cost prices are Rs. 1000 and Rs. 2500, matching option C.