The salary of a person was increased by 20 percent

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1. Salary of a person is first increased by 20%, then it is decreased by 20%. Percentage change in his salary is :

1. 1. 4% decreased
   2. 4% increased
   3. 8% decreased
   4. 20% increased

Using Rule 4,Change in his salary

=		20 - 20 -	20 × 20		%
100

=		-	400		% = – 4%
100

i.e. 4% decrease

Note : If A is first increased by x% and then decreased by y% the net % change

=		x - y -	xy		%
100

If the result is positive, the change indicates increase and if the result is negative, the change indicates decrease.

Correct Answer:

Description for Correct answer:

\( \textbf{Note:} \) If the value of a number is first increased by x%, then net change is always a decrease which is equal to \( \Large \frac{x^{2}}{100}\% \)

Hence, Required change in salary\( \Large =\frac{(20)^{2}}{100}=4\% \) Decrease

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Answer (Detailed Solution Below)

Option 2 :

Free

100 Qs. 100 Marks 90 Mins

Given:

Salary increased percentage = 20%

Concept:

Required percentage = (Increased – Original salary)/Increased salary × 100

Calculation:

Let the original salary be Rs. 100

Increased salary = 120% of Original salary

⇒ Increased salary = 120/100 × 100

⇒ Increased salary = 120

Required percentage = (Increased – Original salary)/Increased salary × 100

⇒ Required percentage = (120 – 100)/120 × 100

⇒ Required percentage = 20/120 × 100

⇒ required percentage = 100/6 

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