Multiple choice

A man sold his watch at a 5% loss. If he had sold it for Rs. 56.25 more, he would have gained 10%. What was the cost price of the watch (in Rs.)?

  1. 365

  2. 370

  3. 375

  4. 390

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

Let CP = x. Loss of 5% means SP1 = 0.95x. Gain of 10% means SP2 = 1.10x. Difference = 0.15x = 56.25. x = 56.25 / 0.15 = 375.

AI explanation

Let the cost price be x. The difference between a 10 percent gain and a 5 percent loss is 15 percent of the cost price, which equals the additional Rs. 56.25. We calculate this as 0.15x = 56.25, which gives x = 56.25 / 0.15. The cost price of the watch is Rs. 375.