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

Seller A marks the cost of each of the items I and II at 25% more than their actual cost price. If marked price of item I for seller A is Rs. 29,300 and that of item II for seller A is Rs. 30,500, then what percent of discount was provided on item II by seller A?

  1. 5%

  2. 15%

  3. 24%

  4. 25%

  5. 37%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked price of item II = 30500. Marked price is 25% more than cost price, so 1.25 * CP = 30500, CP = 24400. Seller A has a loss of 5% on item II, so selling price = 0.95 * 24400 = 23180. Discount = Marked Price - Selling Price = 30500 - 23180 = 7320. Discount % = (7320 / 30500) * 100 = 24%.

AI explanation

The marked price of item II is 25% more than its cost price, so the cost price is 30500 divided by 1.25, which equals 24400 rupees. Seller A incurred a 5% loss on item II, making the selling price 24400 minus 5% of 24400, which equals 23180 rupees. The discount provided is the marked price minus the selling price, giving 30500 minus 23180, or 7320 rupees. The discount percentage is (7320 divided by 30500) multiplied by 100, which results in 24%.

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