Question

The salary of an employee is increased by 20% . By what percentage should the new salary be reduce to restore the original salary ?​

Answer 1

Answer:

Let the original salary = Rs.100 Then, After increment of 25% = 100 (1 + 25/100) = 100 (125/100) = Rs.125

Now, To restore the original salary, Let the new salary decreased by Z%

∴ 125(1 – Z/100) = 100 ⇒ (1 –z Z/100) = 100/125 ⇒ (1 – Z/100) = 4/5 ⇒ Z/100 = 1/5 [1 – 4/5 = 1/5] ⇒ Z = 100/5 ⇒ Z = 20%

Step-by-step explanation:

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Answer 2

As per data given in the question,

We have to find the percentage by which the new salary be reduce to restore the original salary.

Let the salary of each employee = 10 x

And, Let the number of total employee be = 10y

So,

The salary will be $10x \times 10y = 100xy$

As per question,

The salary is increased by 20%.

So, new salary of each employee will be

$10x + (\frac{20}{100}\times 10x)\\=> 12x$

As the total salary is fixed ie. 100xy.

So, the new salary will be,

$\frac{100xy}{12x} = 8.33y$

Hence, required percentage will be.

$\frac{10-8.33}{10}\times 100\%\\16.67\%$

Hence, the salary should be reduced by 16.67%.