Question

What profit per cent is made by selling an article at a certain price, if by selling it at half that price there would be a loss at the rate of $12\frac{1}{2}$%?

• A. $29$%
• B. $75$%
• C. $50$%
• D. $40$%

Answer 1

Answer: (B)

$75$%

Let $p$ be the original price of the item.

$x$ be the price it is sold for to make a profit.

Then, $\frac{x}{2}$ is the price it is sold for which makes a loss of

$12\frac{1}{2}\%$ which is equivalent to $0.875p$

Therefore $\frac{x}{2}=0.875P$

$⟹x=1.75p$

Hence the profit of $75\%$ was made.