Multiple choice

Passage

Directions: The table given below gives information about the profit percent earned by the shopkeepers (A - E) on various items. Shopkeeper/Item P Q R S T A 25% 20% 20% 30% B 18% 30% 15% 30% 20% C 12% 30% D 18% 25% 14% 15% E 15% 15% 18% 10%

If shopkeeper A offered 35% discount and the marked price was x% more than CP of item R, then find the value of x?

  1. 78.95%

  2. 79.62%

  3. 81.32%

  4. 84.62%

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit on R for A is 20%. CP = 100. SP = 120. Discount = 35%. MP * 0.65 = 120. MP = 120 / 0.65 = 184.615. x = (184.615 - 100) = 84.62%.

AI explanation

Let the cost price of item R be 100. The marked price using the successive discount formula yields a selling price calculated as MP times 0.65, which must equal the selling price for a 20% profit, so 0.65 times MP equals 120. Solving this gives a marked price of approximately 184.62. The marked price is therefore 84.62% more than the cost price, meaning x is 84.62.

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