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

Given: The new salary of the person is Rs 1,54,000 after 10% increment.

To do: Find the initial salary

Solution:

Let the original salary  =  Rs$x$

New salary       =  ₹ 154000

Salary increased is 10%

Which means, 10 % of the original salary is increased .

So,  original salary $+$ 10% of original salary = 154000

$ x  +\frac{10 x}{100}   = 154000$   

Cross multiply,

$\frac{ 100 x  + 10 x}{ 100}  =  154000$

$ \frac{110 x}{ 100}   =   154000$

$\frac{11 x}{ 10}  =   154000$

 $x =154000 \times\frac{10}{ 11}$

$x =  \frac{154000}{11}$

 $x   =   140000$

So, the original salary is 140000

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Updated on: 10-Oct-2022

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