Multiple choice

A watch was sold at a profit of 10%. Had it been sold at Rs. 77 more, the profit percent would have been 12%. The cost price of the watch is:

  1. Rs. 3760

  2. Rs. 3850

  3. Rs. 3945

  4. Rs. 3900
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be the cost price. Initial SP = 1.10 * CP. New SP = 1.12 * CP. The difference is 0.02 * CP = 77. Therefore, CP = 77 / 0.02 = 3850.

AI explanation

The difference in profit percentage is 12% minus 10%, which equals a 2% difference. This 2% of the cost price corresponds to the additional Rs. 77 received. Therefore, 2% of the cost price is 77, meaning 0.02 times Cost Price equals 77. Solving this gives the cost price as 77 divided by 0.02, which is Rs. 3850.

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