Question

Salary of an officer is increased by 35%. By what percent should new salary be decreased to restore original salary​

Answer 1

Answer:

25.92%

Step-by-step explanation:

let the original salary be rs 100

Answer 2

Let the original salary be 'x' and the new salary be 'y'.

According to the question, New salary is 35% more than the original salary. In terms of equation we get:

⇒ y = x + 35% of x

⇒ y = x + 0.35x

⇒ y = 1.35x

Now the new salary is 1.35 times the original salary. Now we need to calculate the percentage of money to be decreased from the new salary to get the original salary.

Percentage of money to decreased is given as:

$\boxed{\text{Percentage} = \dfrac{ \text{Difference of New and Old Salary}}{\text{New Salary}} \times 100}$

$\implies \text{Percentage} = \dfrac{1.35x - x}{1.35x} \times 100\\\\\\\implies \text{Percentage} = \dfrac{0.35}{1.35} \times 100\\\\\\\implies \text{Percentage} = 0.2592 \times 100 = \boxed{\bf{25.92\:\%}}$

Hence the salary must be reduced by 25.92% to get the original salary.