Discussion

Question:

What percent profit is made by selling an article at a certain price if by selling it at half that price there would be a loss at 12.5%?

Explanation:

Let CP = Rs. x and SP = y

Then,

If SP_new = 0.5 y, Loss% = (x - 0.5y)/x = 0.125 or x – 0.5y = 0.125x

or 0.875 x = 0.5 y ⇒ y = 0.875/0.5 x = 1.75 x

But when, CP = x, SP = y, profit % = (y - x)/x × 100

= $\frac{1.75 x - x}{x} \times 100$ = $\frac{0.75 x}{x} \times 100$ = 75%

Hence, option (d).

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