Question

By selling $33$ acres of land, one gains about the selling price of $11$ acres. Find the gain percent.

• A. $20$%
• B. $40$%
• C. $50$%
• D. $22$%

Answer 1

The correct option is C $50$%

SP of 33 acres of land = CP of 33 acres + gain

SP of 33 acres of land = CP of 33 acres + SP of 11 acres
$\therefore$ SP if 22 acres = CP of 33 acres
SP of 1 acres = Re $\frac{1}{22}$
CP of 1 acre = Re. $\frac{1}{33}$
Profit = $\left(\frac{1}{22}-\frac{1}{33}\right)$
= $Re\left(\frac{11}{22\times 33}\right)$
= Re. $\frac{1}{66}$
Profit % = $\frac{1}{66}\times \frac{33}{1}\times \frac{100}{1}=50\%$