Question

A house worth Rs $1,50,000$ is sold by $X$ to $Y$ at $5\%$ profit $Y$ sells the house back to $X$ at $2\%$ loss. Then the entire transaction :

• A. $X$ losses Rs $1350$
• B. $X$ gains RS $3150$
• C. $X$ losses Rs $4350$
• D. $X$ gains RS $4350$

Answer 1

The correct option is B $X$ gains RS $3150$

Cost of the house = 150000

Profit gained = 5%

Selling price for the first sale (X to Y) = $150000+\frac{5}{100}\times 150000=157500$

Selling price for X ($C_1$) = 157500

Second transaction,

Loss incurred = 2 %

Selling price for the first sale (Y to X) = $157500-\frac{2}{100}\times 157500=154350$

Cost price for X ($C_2$) = 154350

$C_1$ - $C_2$ = 3150

X gains Rs. 3150