Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is

(a) 20%

(b) 100%

(c) 120%

(d) 140%

Solution:

(c) 120%

Let the SP and CP of the article be Rs and y, respectively.

Gain percentage = 10%

$\Rightarrow 10=\frac{x-y}{y} \times 100$

$\Rightarrow \mathrm{y}=\frac{10 x}{11}$

According to the question, we have:

SP = Rs 2x

$\therefore$ Gain percentage $=\frac{\text { gain }}{\mathrm{CP}} \times 100$

$=\frac{2 x-\frac{10 x}{11}}{\frac{10 x}{11}} \times 100$

$=\frac{12}{10} \times 100$

$=120 \%$

 

 

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