Multiple choice

A watch is sold at a profit of 30%. Had it been sold for Rs. 80 less, there would have been a loss of 10%. What is the cost price in rupees?

  1. 200

  2. 400

  3. 800

  4. 150
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. SP1 = 1.3x. SP2 = 0.9x. 1.3x - 0.9x = 80. 0.4x = 80. x = 200.

AI explanation

Let the cost price be CP, so the initial selling price at 30% profit is 1.3*CP. If the selling price is Rs. 80 less, the new selling price is (1.3*CP)-80, which equals the price at a 10% loss, or 0.9*CP. Solving the equation 1.3*CP - 80 = 0.9*CP gives 0.4*CP = 80. Therefore, CP = 80/0.4 = 200.

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