Question

on increasing the salary of a men by 25%,it becomes 20000 rupees.what was his original salary?

Answer 1

$\Huge{\underline{\underline{\mathfrak{ Solution \colon }}}}$

Let the oringinal salary of man be x

Increased salary of man = 25 % of x + x

$\text{ = } \frac{25}{100 } \times \: \text{x \: + x \: }$

$\text{ = } \: \frac{x}{4} + \text{x}$

$\text{ = } \: \frac{ \:\text{x}+ 4 \text{x} }{4}$

$= \frac{5 \:\text{x}}{4}$

According to the Question

New salary = 20000

$\frac{5 \:\: \text{x}}{4} = 20000$

$5\text{ x} \: = 20000 \times 4$

$\text{x} \: = \frac{80000}{5} \:$

$\text{x} = 16000$

Therefore the oringinal salary of man is 16000

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Answer 2

Answer:

$\large\boxed{\sf{Rs.\:16000}}$

Step-by-step explanation:

Let the initial salary is ₹ x

Increment in the salary = 25% of x

.°. New salary = ₹ ( x + 25% of x )

But, it's given that new salary = ₹ 20000

Therefore, we will get

$= > x + \frac{25}{100} x = 20000 \\ \\ = > x + \frac{x}{4} = 20000 \\ \\ = > \frac{5x}{4} = 20000 \\ \\ = > x = 20000 \times \frac{4}{5} \\ \\ = > x = 4000 \times 4 \\ \\ = > x = 16000$

Hence, original salary = ₹ 16000