Question

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000 find his original salary.​

Answer 1

Solution!!

The increase in percentage and the new salary is given in the question. We have to find out the original salary of the man. We will let the original salary as x and then form an equation which is suitable to find the value of x. Hence, we will get the value of x which is the original salary of the man.

Original salary = x

Increase in percentage = 10%

New salary = Rs 1,54,000

→ Original salary + Increase in salary = New salary

→ x + Increase in salary = 1,54,000

→ Increase in salary = 1,54,000 - x

→ Increase in percentage × Orginal salary = Increase in salary

→ 10% × x = 1,54,000 - x

→ $\sf \dfrac{10}{100}\times x=1,54,000-x$

→ $\sf \dfrac{1}{10}x=1,54,000-x$

→ $\sf \dfrac{1}{10}x+x=1,54,000$

→ $\sf x\left(\dfrac{1+10}{10}\right)=1,54,000$

→ $\sf x\left(\dfrac{11}{10}\right)=1,54,000$

→ $\sf x=\dfrac{10}{11}\times 1,54,000$

→ $\sf x=10\times 14,000$

→ $\sf x=1,40,000$

The original salary of the man = Rs 1,40,000