Question

24. On increasing the salary of a man by 25%, it becomes 20,000. What was his original salary?​

Answer 1

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$x+ x × \frac{25}{100}$

= 20000

$\frac{100 x}{100}$ $+ \frac{25x}{1100}$

125x = 2000000

$x = \frac{2000000}{125}$

x = 16000

Answer 2

Answer:

Original salary of the man = ₹16,000

Step-by-step explanation:

Given :

Percentage of salary increased = 25%

New salary of the man = 20,000

To find :

The original salary of the man

Taken :

Let the salary of the man be x

To find the original salary of the man use this equation -:

$\boxed{\sf{x+x\times\dfrac{25}{100}=Rs.20,000}}$

Solution :

$:\implies\sf{x+x\times\dfrac{25}{100}=Rs.20,000}$

$:\implies\sf{x+\cancel{\dfrac{25x}{100}}=Rs.20,000}$

$:\implies\sf{\dfrac{x}{1}+\dfrac{x}{4}=Rs.20,000}$

L.C.M. of 1 and 4 is 4

$:\implies\sf{\dfrac{4x+x}{4}=Rs.20,000}$

$:\implies\sf{\dfrac{5x}{4}=Rs.20,000}$

Cross multiply the number

$:\implies\sf{5x=Rs.20,000\times4}$

$:\implies\sf{5x=Rs.80,000}$

$:\implies\sf{x=\cancel{\dfrac{Rs.80,000}{5}}}$

$:\implies\sf{x=Rs.16,000}$

So , the original salary of the man is ₹16,000 .