Question

Narendra’s salary was decreased by 50\(\%\) and subsequently increased by 50\(\%\). How much percent does he lose?

• A. 20
• B. 25
• C. 35
• D. 30

Answer 1

The Correct Option is B

Salary Percentage Loss Calculation

Let Narendra’s original salary be Rs. x. 

Step 1: Salary Decrease by 50%

After a 50% decrease, the new salary is:

\[ \frac{x}{2} \]

Step 2: Salary Increase by 50%

Now, increasing this salary by 50%:

\[ \frac{x}{2} \times 1.5 = \frac{3x}{4} \]

Step 3: Loss in Salary

Thus, the new salary is \(\frac{3x}{4}\), so Narendra loses:

\[ x - \frac{3x}{4} = \frac{x}{4} \]

Step 4: Percentage Loss Calculation

\[ \frac{\frac{x}{4}}{x} \times 100 = 25\% \]

Thus, the percentage loss in salary is 25%.