Question 12

A house worth Rs.150000 is sold by X to Y at 5% profit. If Y sells the house back to X at 2% loss, then in the entire transaction:

Solution

X case

CP = 150000

profit = 5%

SP = $$ 150000 \times \frac{105}{100} $$

= 157500

here X gains = SP - CP = 157500 - 150000 = 7500

Y case

CP = 157500 (X's SP = Y's CP)

loss = 2%

SP = $$ 157500 \times \frac{98}{100} $$

= 154350

here Y loss = CP - SP = 157500 - 154350 = 3150

X gains = 7500 - 4350 = 3150

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