Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

The ratio of selling price of item III for seller C to that for seller E is 9 : 5, and cost price of item III for seller C is Rs. 230 more than that for seller E. If marked prices of item III for sellers C and E are the same and also marked price of item III is marked as 25% more than the cost price of item III for seller C, then what percent of discount is offered by seller E on item III?

  1. 19%

  2. 22%

  3. 35.6%

  4. 47.5%

  5. 50.1%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This requires extracting data from the table for sellers C and E for item III. Seller C: Profit 18%. Seller E: Loss 12%. Calculations based on the provided constraints lead to the discount percentage for E.

AI explanation

Since the marked price is 25 percent more than the cost price for seller C, the selling price for seller C at an 18 percent profit is 1.18 times 1.25 times the cost price for seller C. The selling price ratio is 9 to 5, so the selling price for seller E is 5/9 of the selling price for seller C. Since both have the same marked price, the selling price for seller E is also the marked price multiplied by (1 minus the discount). Solving the equations reveals the marked price is 1.25 times the cost price for seller C, and subtracting the ratio of selling prices from the marked price gives a discount of 47.5 percent for seller E.

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