A man's salary is increase by 10 %. In order to have his salary back to the original amount, it must be reduced by x % then value of x is

Question

A man's salary is increase by 10 %. In order to have his salary back to the original amount, it must be reduced by x % then value of x is (A) 11 (1/9) (B) 1 (11/9) (C) 11 (9/11) (D) 9 (1/11)

Tardigrade Admin · Accepted Answer

Let original salary =x 10 % increase in x becomes x+(10/100) × x=1.1 x Then, let decrease be mathrmp % [1.1 x becomes 1.1 x-(p/100) × 1.1 x ] ⇒ 1.1 x-(P/100) × 1.1 x=x ⇒ 1.1 x ((100-p)/100)=x ⇒ 1.1(100-p)=100 ⇒ 110-1.1 mathrmp=100 ⇒ 1.1 mathrmp=10 ⇒ p=(10/1.1)=(100/11)=9 (1/11)

Q. A man's salary is increase by $10%$ . In order to have his salary back to the original amount, it must be reduced by $x %$ then value of $x$ is

$11 \frac{1}{9}$

$1 \frac{11}{9}$

$11 \frac{9}{11}$

$9 \frac{1}{11}$

Q. A man's salary is increase by 10%. In order to have his salary back to the original amount, it must be reduced by x% then value of x is

1191​

1911​

11119​

9111​

Let original salary =x 10% increase in x becomes x+10010​×x=1.1x Then, let decrease be p% [1.1 x becomes 1.1x−100p​×1.1x ] ⇒1.1x−100P​×1.1x=x ⇒1.1x100(100−p)​=x ⇒1.1(100−p)=100 ⇒110−1.1p=100 ⇒1.1p=10 ⇒p=1.110​=11100​=9111​

Q. A man's salary is increase by $10%$ . In order to have his salary back to the original amount, it must be reduced by $x %$ then value of $x$ is

$11 \frac{1}{9}$

$1 \frac{11}{9}$

$11 \frac{9}{11}$

$9 \frac{1}{11}$