Question

By selling an article for $Rs.4550$, Tony incurs a loss of $9\%$. What percent would he gain or lose by selling it for $Rs.4825$?

Answer 1

Tony pays $100\%$ and loses $9\%$, then $4550$ represents $91\%$ of the cost of the article .

Let the price of the article $=p$

Then ,

$0.9p=4550$

$p=\frac{4550}{0.9}\times 100=5055.56$

Therefore,

he paid $5055.56$. If he gets $4825$ for the article

Then,

$\frac{4825}{5055.56}=0.954$

hence,

$=0.954-1=-0.046or4.6\%$