Multiple choice

Vilasrao gives two successive discounts of 27% and 32% on his watch and gets Rs. 248.2 for it. Find its marked price.

  1. Rs. 250

  2. Rs. 500

  3. Rs. 750

  4. Rs. 336

  5. Rs. 546
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let marked price be x. x * (1 - 0.27) * (1 - 0.32) = 248.2. x * 0.73 * 0.68 = 248.2. x * 0.4964 = 248.2. x = 248.2 / 0.4964 = 500.

AI explanation

Let the marked price be MP, and use the successive discount formula where the selling price equals MP*(1-d1/100)(1-d2/100). Substituting the given values gives 248.2 = MP(1-0.27)*(1-0.32), which simplifies to 248.2 = MP*0.73*0.68. Solving this yields 248.2 = MP*0.4964, so MP = 248.2/0.4964 = 500, giving a result of Rs. 500.

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