Question

The CP of $21$ articles is equal to SP of $18$ articles. Find the gain or loss per cent.

• A. $12\frac{1}{2}$% gain
• B. $12\frac{1}{2}$% loss
• C. $16\frac{2}{3}$% gain
• D. $16\frac{2}{3}$% loss

Answer 1

The correct option is C $16\frac{2}{3}$% gain

Let CP of one article $=Re.1$
CP of 21 articles $=Rs.21$
SP of 18 articles = CP of 21 articles $=Rs.21$
Gain $=21-18=Rs.3$
Thus, Gain % $=\frac{Gain}{CP}\times 100=\frac{3}{18}\times 100$
Gain % $=16\frac{2}{3}\%$