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Question 20

Logical Reasoning Percentage Easy

The monthly income and expenditure of a person were Rs.10,000 and Rs. 6,000 respectively. Next year, his income increased by \( 15 \% \) and his expenditure increased by \( 8 \% \) . Then the percentage increase in his savings is:

(A) \( 20 \% \)
(B) \( 25 \% \)
(C) \( 25.5 \% \)
(D) \( 452.5 \% \)
View Dynamic Solution & Explanation ▼
Correct Solution: Option C

Step-by-step Solution:

Percentage Solution

Solution

Here is the step-by-step calculation for the percentage increase in savings.

1. Initial Savings

  • Initial Income = Rs. 10,000
  • Initial Expenditure = Rs. 6,000
  • Initial Savings = 10,000 - 6,000 = Rs. 4,000

2. New Income and Expenditure

  • New Income = 10,000 + (15% of 10,000) = 10,000 + 1,500 = Rs. 11,500
  • New Expenditure = 6,000 + (8% of 6,000) = 6,000 + 480 = Rs. 6,480

3. New Savings

  • New Savings = 11,500 - 6,480 = Rs. 5,020

4. Percentage Increase in Savings

  • Increase in Savings = New Savings - Initial Savings = 5,020 - 4,000 = Rs. 1,020
  • Percentage Increase = (Increase / Initial Savings) × 100
  • Percentage Increase = (1,020 / 4,000) × 100 = 25.5%

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