Multiple choice

A watch was sold at a loss of 8%. Had it been sold for Rs. 104 more, it would have fetched 5% profit. Its cost price is

  1. Rs. 640

  2. Rs. 760

  3. Rs. 800

  4. Rs. 900
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Loss of 8% means SP = 0.92x. Profit of 5% means SP = 1.05x. Difference = 1.05x - 0.92x = 0.13x. 0.13x = 104, so x = 104 / 0.13 = 800.

AI explanation

The difference between a 5% profit and an 8% loss is 13% of the cost price. This 13% difference is given as Rs. 104. Setting 0.13 times the cost price equal to 104 and dividing by 0.13 gives the cost price of Rs. 800.

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