Question

Mark (✓) against the correct answer
If the cost price of 5 bananas be equal to the selling price of 3 bananas, then gain per cent is

(a) $33\frac{1}{3}\%$
(b) 15%
(c) $66\frac{2}{3}\%$
(d) 40%

Answer 1

(c) $66\frac{2}{3}\%$

Let the cost price of each banana be Re 1.
Cost price of three bananas = Rs. 3
SP of three bananas = CP of five bananas = Rs. 5
Gain = SP - CP = $\mathrm{Rs}.(5-3)=\mathrm{Rs}.2$

$$\begin{gathered} \mathrm{Gain}\%=\left(\frac{\mathrm{Gain}}{CP}\times 100\right)\% \\ =\left(\frac{2}{3}\times 100\right)\% \\ =\left(\frac{200}{3}\right)\% \\ =66\frac{2}{3}\% \end{gathered}$$