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A sold and article to B at a profit of 20%. B sold the same article to C at a loss of 25% and C sold the same article to D at a profit of 40%. If D paid Rs.252 for the article, then find how did A pay for it?

A sold and article to B at a profit of 20%. B sold the same article to C at a loss of 25% and C sold the same article to D at a profit of 40%. If D paid Rs.252 for the article, then find how did A pay for it?

  • (A) Rs.110
  • (B) Rs.200
  • (C) Rs.240
  • (D) Rs.300
  • Solution: Let A’s cost be x.
  • A → B at 20% profit: B’s price = 1.2x
  • B → C at 25% loss: C’s price = 1.2x × 0.75 = 0.9x
  • C → D at 40% profit: D’s price = 0.9x × 1.4 = 1.26x
  • D paid Rs. 252, so:
  • 1.26x = 252 → x = 200
  • Answer: Rs. 200 (B)
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