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Find the simple interest (in Rs.) on Rs. 2000 at 6.75% per annum rate of interest for the period from 3 February 2023 to 17 April 2023.
Question

Find the simple interest (in Rs.) on Rs. 2000 at 6.75% per annum rate of interest for the period from 3 February 2023 to 17 April 2023.

A.

25

B.

28

C.

27

D.

26

Correct option is C

Given:

Principal (P) = Rs. 2000

Rate of interest (R) = 6.75% per annum

Time period: 3 February 2023 to 17 April 2023

Formula Used:

1 year = 365 days

SI = P×R×T100\frac{P \times R \times T}{100}​​

Solution:

Count number of days from 3 Feb to 17 Apr 2023

February 2023: 28 days → 28 - 3 = 25 days 

March 2023: 31 days

April 2023: 17 days

Total = 25 + 31 + 17 = 73 days

T = 73365 \frac{73}{365} years

Applying the formula; 

SI = 2000×6.75×73365100\frac{2000 \times 6.75 \times \frac{73}{365}}{100}​​

13500×15100\frac{13500 \times \frac{1}5}{100}​​

= 27

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