A salary increases from ₹ 7200 to ₹ 8100. By what percentage has the salary increased?

Difficulty: Easy

Correct Answer: 12 1/2%

Explanation:

Introduction / Context:Percentage change problems require computing the change relative to the original value. Here, the original salary and the new salary are given directly.

Given Data / Assumptions:

  • Original salary = ₹ 7200.
  • New salary = ₹ 8100.

Concept / Approach:Percentage increase = (Increase / Original) * 100. Increase equals New − Original. Always divide by the original amount when computing the rate of increase.

Step-by-Step Solution:Increase = 8100 − 7200 = 900Rate = (900 / 7200) * 100 = 0.125 * 100 = 12.5%12.5% = 12 1/2%

Verification / Alternative check:Compute 12.5% of 7200: 0.125 * 7200 = 900. Add to 7200 to get 8100, confirming the result.

Why Other Options Are Wrong:25%, 18%, 16 2/3%, and 15% correspond to different increases; none produce exactly ₹ 8100 from ₹ 7200.

Common Pitfalls:Dividing by the new amount instead of the original, which would understate the true percentage change.

Final Answer:12 1/2%

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion