Multiple choice

The marked price of a bicycle was Rs. 950. A man bought the same for Rs. 668.80 after getting two successive discounts, the 2nd being 20%. What was the 1st discount?

  1. 10%

  2. 12%

  3. 15%

  4. 18%

  5. None
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B Correct answer
Explanation

Let the first discount be x percent. The price after the first discount is 950 * (1 - x/100). Applying the second discount of 20 percent, the final price is 950 * (1 - x/100) * 0.8 = 668.80. Solving for x gives (1 - x/100) = 668.80 / (950 * 0.8) = 668.80 / 760 = 0.88. Thus, x = 12 percent.

AI explanation

Using the successive discount formula, Final Price = Marked Price x (1 - d1/100) x (1 - d2/100), we substitute the known values: 668.80 = 950 x (1 - d1/100) x (1 - 0.20). This simplifies to 668.80 = 760 x (1 - d1/100). Solving for the first discount gives (1 - d1/100) = 0.88, which means the first discount is 12%. The 1st discount was 12%.

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