Question

Mark (✓) against the correct answer
A vendor buys lemons at Rs 25 per dozen and sells at 5 for Rs 12. His gain per cent is

(a) 14.5%
(b) 15%
(c) 15.2%
(d) 16%

Answer 1

(c) 15.2%

Cost price of 12 bananas = Rs. 25
Cost price of one banana = $\mathrm{Rs}.\frac{25}{12}$
$$\begin{gathered} \mathrm{Cost}\mathrm{price}\mathrm{of}\mathrm{five}\mathrm{banana}s=\mathrm{Rs}.5\times \frac{25}{12} \\ =\mathrm{Rs}.\frac{125}{12} \\ =\mathrm{Rs}.10.42 \end{gathered}$$

He sells five bananas at the cost (SP) of Rs. 12.
Gain = SP - CP

= $$\begin{gathered} =\mathrm{Rs}.(12-10.42) \\ =\mathrm{Rs}.1.58 \end{gathered}$$

$$\begin{gathered} \mathrm{Gain}\%=\left(\frac{\mathrm{Gain}}{CP}\times 100\right)\% \\ =\left(\frac{1.58}{10.4}\times 100\right)\% \\ =15.2\% \end{gathered}$$