Multiple choice

Shallu sells a watch at a discount on its marked price of Rs. 3200. In a clearance sale, he gives an additional discount of 30%, thus selling it at Rs. 1480. Find the first discount.

  1. 33.93%

  2. 22.98%

  3. 54.9%

  4. 66.07%

  5. 42.39%
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A Correct answer
Explanation

Let the first discount be x%. After the first discount, the price is 3200 * (1 - x/100). After a 30% discount, the price is 3200 * (1 - x/100) * 0.7 = 1480. Solving for x: (1 - x/100) = 1480 / (3200 * 0.7) = 1480 / 2240 = 0.6607. Thus, x = 33.93%.

AI explanation

Let the first discount percentage be d. Using the successive discount formula, the final selling price is 3200 multiplied by (1 minus d/100) multiplied by (1 minus 30/100). Setting this equal to 1480 gives 3200 multiplied by (1 minus d/100) multiplied by 0.70 equals 1480. Solving this yields (1 minus d/100) equals 0.66, so d is 33.93. The first discount is 33.93 percent.

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