the income of a person is increased by 10% and then decreased by 10% .find the change in his income
Answers
Answer:
The change of income will be 0 because if you subtract increase and decrease you will get 0
Given:
✰ The income of a person is increased by 10%
✰ Then the income of a person is decreased by 10%
To find:
✠ The change in his income.
Solution:
Let the income of a person be Rs. 100.
When the income of a person is increased by 10%
( We will add the increase in the income of a person to the income of a person we have assumed. We will convert the percentage of increase in income to a simple decimal number ).
➛ The income of a person = 100 + 10% of 100
➛ The income of a person = 100 + 10/100 × 100
➛ The income of a person = 100 + 10
➛ The income of a person = 110
When the income of a person is decreased by 10%
( We will substract the decrease in the income of a person from the income of a person [ we get after adding 10% ]. We will convert the percentage of decrease in income to a simple decimal number ).
➛ The income of a person = 110 - 10% of 110
➛ The income of a person = 110 - 10/100 × 110
➛ The income of a person = 110 - 10/10 × 11
➛ The income of a person = 110 - 11
➛ The income of a person = 99
Now,
➤ The change in his income = 100 - 99
➤ The change in his income = 1
➤ Percentage of change in income = 1/100 × 100%
➤ Percentage of change in income = 1%
∴ The change in his income = 1%
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