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.
- a.X gains ₹ 4,350
- b.X loses ₹ 4,350
- c.X loses ₹ 3,150
- 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.