Question

The income of A is increased by 10% and then decreased by 10%. What is the effective change in income?​

Answer 1

$\red{❏}$Given:-

• The income of A is increased by 10% and then decreased by 10%.

$\red{❏}$To find:-

• Effective change in income?

$\red{❏}$Solution:-

➟Let the income be 100

‎‎

➟According to question,increased by 10% ,

‎

$= \frac{10}{100}\times 100 \\ \\ = 10$

$\therefore \: (100 + 10) = 110$

‎

➟Decreased income by 10%

‎

$\frac{10}{100} \times 110 = 11 \\ \\ \\ \\ (110 - 11) = 99$

We know,

$\tiny {\green{ \boxed { \sf \green{\%\: change \: in \: income = \tt\frac{changed \: income}{original \: income} \times 100\%}}}} \\ \\ \\ \\ \\ \tt \implies \frac{100 - 99}{100} \times 100\% \\ \\ \\ \\ \\ \implies \: 1\%$

Hence, Total change on income = 1%