The salary of an employee is increased by 10% and then the increased salary is reduced by 10%. The percentage loss in the salary of the employee is:

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. 3%
  2. 1%
  3. 2%
  4. 4%

Answer (Detailed Solution Below)

Option 2 : 1%
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Detailed Solution

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Given:

Let the original salary be ₹100.

Calculations:

Step 1: Calculate the increased salary.

⇒ Increased Salary = ₹100 + 10% of ₹100 = ₹100 + ₹10 = ₹110.

Step 2: Calculate the reduced salary after a 10% decrease.

⇒ Reduced Salary = ₹110 - 10% of ₹110 = ₹110 - ₹11 = ₹99.

Step 3: Calculate the loss in salary.

⇒ Loss = Original Salary - Reduced Salary = ₹100 - ₹99 = ₹1.

Step 4: Calculate the percentage loss.

⇒ Percentage Loss = (Loss / Original Salary) × 100 = (₹1 / ₹100) × 100 = 1%.

∴ The percentage loss in the salary of the employee is 1%.

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