MCQ
Tick $(\checkmark)$ the correct answer in the following:On selling an article at a certain price a man gains $10\%.$ On selling the same article at double the price, gain percent is:
- A$20\%$
- B$100\%$
- ✓$120\%$
- D$140\%$
✓
Answer
Correct option: C.
$120\%$
Let the $SP$ and $CP$ of the article be $Rs.x$ and $y,$ respectively.
Gain percentage $= 10\%$
$\Rightarrow10=\frac{\text{x}-\text{y}}{\text{x}}\times100$
$\Rightarrow\text{y}=\frac{10\text{x}}{11}$
According to the question, we have
$SP = Rs. 2x$
$\therefore$ Gain percentage $=\frac{\text{gain}}{\text{CP}}\times100$
$=\frac{2\text{x}-\frac{10\text{x}}{11}}{\frac{10\text{x}}{11}}\times100$
$=\frac{12}{10}\times100$
$=120\%$
Gain percentage $= 10\%$
$\Rightarrow10=\frac{\text{x}-\text{y}}{\text{x}}\times100$
$\Rightarrow\text{y}=\frac{10\text{x}}{11}$
According to the question, we have
$SP = Rs. 2x$
$\therefore$ Gain percentage $=\frac{\text{gain}}{\text{CP}}\times100$
$=\frac{2\text{x}-\frac{10\text{x}}{11}}{\frac{10\text{x}}{11}}\times100$
$=\frac{12}{10}\times100$
$=120\%$
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