Question

Price of an item is increased by $10\%$ and then decreased by $10\%$ what is net change?

Answer 1

Price increased by $10\%$ and then decreased by $10\%$

let the price of an item be Rs.$100$

$10\%=\frac{10}{100}=\frac{1}{10}$

So $10\%$ of $100=\frac{10}{100}\times 100=10$

New price after increase$=100+10=110$

Now $10\%$ of $110$ is $=\frac{10}{100}\times 110=11$

So new price after decrease is Rs.$110-11=$Rs. $99$

Rs.$1$ loss on Rs.$100$ means $1\%$