Question

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

Answer 1

Step 1: Assigning a variable to the unknown quantity

Let the original salary be x
Given that
Increment in salary =10 % of original salary
The new salary = ₹1,54,000
Now, Original salary + increment = New salary

Step 2: Framing an equation based on the condition given.
Let the original salary be x
Gives that
Imcrement in salary = 10% of original salary
The new salary = ₹1,54,000
Now, Original salary + increment = New salary
$\therefore x+\frac{10}{100}\times x=1,54,000$
$\Rightarrow x+\left(\frac{x}{10}\right)=1,54,000$
$\Rightarrow \left(\frac{11x}{10}\right)=1,54,000$
Step 3: Simplifying the equation
$\left(\frac{11x}{10}\right)=1,54,000$
\(\x=\left (\dfrac {10}{11}\right )\times 1,54,000=1,40,000)
Thus, the original salary was ₹1,40,000