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A trader sells three-fourths of his stock of jackets at a profit of 20% and the remaining one-fourth at a loss of 10%. On the whole he gains ₹3600. His total cost price (in ₹) was:

Competition practiceRatio, Percentage & Commercial Math
  • A28800
  • B36000
  • C48000
  • D72000

Step-by-Step Solution

Let the total cost be . Three-fourths of it returns and the last fourth returns , a total of . The gain is therefore → = ₹28800. (Averaging +20% and −10% into a 5% overall gain gives the trap ₹72000 and ignores that the profitable part is three times as large as the loss-making part.)
Answer: A) 28800

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