Question

Manoj’s income increased by 20% and then decreased by 20%.What is the total percentage change in Manoj’s income?

Answer 1

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Let Manoj's income be Rs 100

Increased by 20%

$\sf \: 2 0\% \: of \: 100$

$\sf \: \dfrac{20}{100} \times 100 = \boxed{ \sf \: Rs \: 20}$

Income Increased = Rs 100 + Rs 20 = Rs 120

Decreased by 20%

$\sf \: 100 - 20\% \: of \: 100$

$\sf \: 100 - \dfrac{20}{100} \times 120 = \boxed{ \sf \: Rs \: 96}$

Net Decrease = 100 - 96 = Rs 4

$\sf \: Decrease \: \% = \dfrac{Decrease }{C.P} \times 10$

$\implies \sf \: \dfrac{4}{100} \times 100$

$\large \boxed{ \sf \: 4\%}$

Percentage changed in Manoj's income = 4%

Answer 2

Answer:

Total percentage change in his income = 4%

Step-by-step explanation:

Given:

• Manoj's income is increased by 20% and then decreased by 20%

To find: Total percent change in Manoj's income

Solution: Let Manoj's income be Rs 100

A/q

After increasing 20% his income becomes = Rs 120

again after decreasing 20% his income becomes = 120 – 20% of 120

$\small\implies{\sf }$ 120 – 20/100 x 120

$\small\implies{\sf }$ 120 – 24

$\small\implies{\sf }$ Rs 96

★Net Decreasement ★

$\small\implies{\sf }$ Rs (100–96) = Rs 4

So, The total percentage change in his income = (4/100 x 100)%

$\small\implies{\sf }$ 4%

Hence, Total percent change is 4%