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Question

Find the simple interest (in ₹) on ₹2000 at 6.5% per annum rate of interest for the period from 14 February 2023 to 28 April 2023

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

26

The period from 14 February 2023 to 28 April 2023 is approximately 74 days. 

Number of days in Feb 2023 = 28 - 14 = 14 days. Number of days in March 2023 = 31 days. 

Number of days in April 2023 = 28 days. Total number of days = 14 + 31 + 28 = 73 days. 

Simple Interest = (Principal × Rate × Time)/100. Time = 73/365 years. Simple Interest = (2000 × 6.5 × 73)/(100 × 365) = 26.00. Approximately 26. 

Simple Interest ≈ ₹26

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The correct answer is

26

Total time = 74 days = \( \frac{74}{365} \) years

SI = \( \frac{P \times R \times T}{100} = \frac{2000 \times 6.5 \times \frac{74}{365}}{100} = ₹26 \)

Answer:

₹26

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The correct answer is

26

Given:

  • Principal (P) = ₹2000
  • Rate of interest (R) = 6.5% per annum
  • Time period = 14 February 2023 to 28 April 2023

Step 1: Calculate the number of days

February (2023 is not a leap year):28 - 14 = 14 days
March:31 days
April:28 days
Total days:14 + 31 + 28 = 73 days

Step 2: Convert days to years

\[ \text{Time (T)} = \frac{73}{365} = 0.2\ \text{years} \]

Step 3: Calculate Simple Interest

\[ SI = \frac{P \times R \times T}{100} = \frac{2000 \times 6.5 \times 0.2}{100} \]

\[ = \frac{2600}{100} = ₹26 \]

Final Answer:

The simple interest is \[ \boxed{26} \] rupees.

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Important Questions from Simple Interest

  1. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?

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