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
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
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
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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