Question

If SP of an article is $\frac{5}{4}$ of its CP then the profit percentage in the transaction is :

• A. $10$
• B. $20$
• C. $30$
• D. $25$

Answer 1

Answer: (D)

$25$

Let $CP=x$

Given that, $SP=\frac{5}{4}CP=\frac{5x}{4}$

$\therefore profit=SP-CP=\frac{5}{4}SP-SP=\frac{SP}{4}=\frac{x}{4}$

$\therefore profitpercentage=\frac{profit\times 100}{CP}=\frac{\frac{x}{4}\times 100}{x}=25\%$