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While selling \(15\) items, a shopkeeper earned a profit equal to the total cost price of \(3\) items. If each item is marked up \(25\%\) over its actual cost and a discount of \(₹2\) is given while…

Question and options

While selling 1515 items, a shopkeeper earned a profit equal to the total cost price of 33 items. If each item is marked up 25%25\% over its actual cost and a discount of ₹2₹2 is given while selling it, then what is the difference between the total cost price of 2020 items and the total selling price of 1212 items?
  1. Rs. 224
  2. Rs. 278
  3. Rs. 254
  4. Rs. 220

Answer and explanation

Correct answer: A - Rs. 224
Profit on 15 items = CP of 3, so SP of 15 = CP of 18 and SP = 1.2 CP. Also SP = 1.25 CP - 2, so 0.05 CP = 2 and CP = 40, SP = 48. 20 x 40 - 12 x 48 = 800 - 576 = 224.

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