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Find the simple interest (in Rs.) on Rs. 4,000 at 7.5% per annum rate of interest deposited on 3 February 2024 and withdrawn on 4 April 2024.
Question

Find the simple interest (in Rs.) on Rs. 4,000 at 7.5% per annum rate of interest deposited on 3 February 2024 and withdrawn on 4 April 2024.

A.

Rs. 48

B.

Rs. 51

C.

Rs. 50

D.

Rs. 49

Correct option is C

Given:

Principal P = Rs. 4,000
Rate R = 7.5% p.a.
Period: 3 Feb 2024 to 4 Apr 2024 = 61 days (2024 is a leap year 366 days)

Formula Used:
Simple Interest  SI=P×R×T100\text{SI} = \dfrac{P \times R \times T}{100}​​

Solution:
T=61366=16=\frac{61}{366}=\frac{1}{6}​​
SI=4000×7.5×16100\text{SI}=\frac{4000 \times 7.5 \times \frac{1}{6}}{100}​​

=4000×7.5600=\frac{4000 \times 7.5}{600}​​
=50
Simple Interest = Rs. 50

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