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

If the cost price of item IV is the same for all the sellers and difference between selling price of item IV for seller C and that for seller D is Rs. 500, then what is the actual cost price of item IV?

  1. Rs. 4,500

  2. Rs. 5,000

  3. Rs. 6,525

  4. Rs. 3,125

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Seller C sells at a 3 percent loss, making the selling price 97 percent of the cost price. Seller D sells at a 13 percent profit, making the selling price 113 percent of the cost price. The difference in their selling prices is 16 percent of the cost price. We are given this difference is Rs. 500, so 0.16 times the cost price equals 500. The cost price is 500 divided by 0.16, which is Rs. 3125.

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