MCQ
Mark $(\checkmark)$ against the correct answer in the following: A vendor bought lemons at $6$ for a rupee and sold them at $4$ for ampee. His gain$\%$ is:
- ✓$50\%$
- B$40\%$
- C$33\frac{1}{3}\%$
- D$16\frac{1}{3}\%$
✓
Answer
Correct option: A.
$50\%$
$CP$ of $6$ lemons $=$ Re $1$
$CP$ of $1$ lemon $=\text{Rs. }\frac{1}{6}$
$CP$ of $4$ lemons $=$ Re $1$
$SP$ of $1$ lemon $=\text{Rs. }\frac{1}{4}$
$\therefore$ Gain $= SP - CP$
$=\frac{1}{4}-\frac{1}{6}$
$=\frac{3-2}{12}$
$=\text{Rs. }\frac{1}{12}$
Gain $= 10\%$
$\text{Gain%}=\frac{\text{Gain}\times100}{\text{C.P}}$
$=\frac{\frac{1}{12}\times100}{\frac{1}{6}}$
$=\frac{100\times6}{12}$
$=50\%$
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