Question

Amit was given an increment of 20% on his salary. If his new salary is
Rs 15300, what was his salary before the increnent​

Answer 1

Given :-

Increment percentage = 20%

New salary = ₹ 15,300

To Find :-

The salary before increment i.e, the old salary.

Solution :-

Let the old salary be ₹ x

Total increment = 20% of old salary

= 20% of x

${\sf{=\: {\dfrac{20}{100}}\: \times\: x}}$

${\sf{=\: {\dfrac{x}{5}}}}$

Therefore, total increment = x/5

${\sf{New\: salary\: =\: x\: +\: {\dfrac{x}{5}}}}$

But also given that new salary is ₹15,300

According to question ,

${\sf{15300\: =\: x\: +\: {\dfrac{x}{5}}}}$

${\sf{15300\: =\: {\dfrac{5x\: +\: x}{5}}}}$

${\sf{15300\: =\: {\dfrac{6x}{5}}}}$

${\sf{6x\: =\: 15300\: \times\: 5}}$

${\sf{x\: =\: {\dfrac{15300\: \times\: 5}{6}}}}$

${\sf{x\: =\: {\bold{12,750}}}}$

Therefore, the old salary was ₹ 12,750

Answer 2

Answer:-

✮12,750✮

Given :-

❶ Increment percentage = 20%

❷ New salary = ₹ 15,300

To Find :-

Salary before increment

SoluTion :-

Let old salary be x

Total increment = 20% of x

$\sf \: \dfrac{20}{100} \times x$

$\sf \dfrac {x}{5}$

$\sf Therefore, \: total \: increment = \dfrac{x}{5}$

New salary = x + x/5

New salary = 15300

$\sf \: 15300 = x + \dfrac{x}{5}$

$\sf \: 15300 = \dfrac{5x + x}{5}$

$\sf \: 15300 = \dfrac{6x}{5}$

$\sf \: 6x = 15300 \times 5$

$\sf \: 6x = 76500$

$\sf \:x = \dfrac{76500}{6}$

$\sf \: value \: of \: x \: = 12750$

➠ Old salary = 12750