Question

if a man buys an article at 3/4th of its value and sells it for 50%more than its value.What is his percent of profit based on cost?​

Answer 1

Answer: 75%

Step-by-step explanation:

Cost of article : x

Profit after purchase : x-0.75x =0.25x

Profit after selling : 0.5x

Total profit : 0.25x + 0.5x = 0.75x

which is 75%

Answer 2

Given:

A man buys an article at 3/4th of its value and sells it for 50%more than its value.

To find:

We have to find the profit percentage.

Solution:

Let the value of the article is x.

A man buys the article at 3/4th of its value.

So, the cost price of the article is 3x/4.

He sells it for 50%more than its value.

So, the selling price is x+50x/100

x+x/2

=3x/2.

Thus the percentage of profit is given as-

$\frac{ \frac{3x}{4} - \frac{3x}{2} }{ \frac{3x}{4} } \times 100 \\ \frac{ \frac{6x - 3x}{4} }{ \frac{3x}{4} } \times 100 \\ \frac{ \frac{3x}{4} }{ \frac{3x}{4} } \times 100 \\ = 100\%$

The percentage of profit on the article is 100%.