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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 190 of 200

Q190
ArithmeticPercentage, Profit & Loss
A house worth ₹ 1,50,000 is sold by X at a 5% profit to Y, Y sells the house back to X at a 2% loss. Then find profit and loss in the entire transaction.
  1. a.X gains ₹ 4,350
  2. b.X loses ₹ 4,350
  3. c.X loses ₹ 3,150
  4. d.X gains ₹ 3,150

Answer: (D) X gains ₹ 3,150

X sells to Y for 150000 × 1·05 = ₹ 1,57,500 and buys it back for 157500 × 0·98 = ₹ 1,54,350. X ends up with the house again and ₹ 1,57,500 − ₹ 1,54,350 = ₹ 3,150 more, so X gains ₹ 3,150. ₹ 4,350 is the difference between the buy-back price and the original worth.