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Comparing Quantities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSComparing Quantities1 Mark
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 $=\frac{\text{gain}}{\text{CP}}\times100$
$=\frac{2\text{x}-\frac{10\text{x}}{11}}{\frac{10\text{x}}{11}}\times100$
$=\frac{12}{10}\times100$
$=120\%$

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