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Find the simple interest (in ₹) on ₹2,000 at 5.75% per annum rate of interest for the period from 15 February 2023 to 29 April 2023.​
Question

Find the simple interest (in ₹) on ₹2,000 at 5.75% per annum rate of interest for the period from 15 February 2023 to 29 April 2023.​

A.

24

B.

21

C.

22

D.

23

Correct option is D

Given:

Principal (P) = ₹2,000

Rate of interest (R) = 5.75% per annum

Time period from 15 February 2023 to 29 April 2023

Concept Used:

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

Solution:

From 15 February to 28 February: 13 days

March: 31 days

From 1 April to 29 April: 29 days

Thus, the total number of days is:

13 + 31 + 29 = 73 days

T = 73365=15\frac{73}{365} = \frac15 years 

Now, 

SI = 2000×5.75×15×100\frac{2000 \times 5.75 \times 1}{5\times100}

SI = 20×5.75×15\frac{20 \times 5.75 \times 1}{5}

SI = 1155\frac{115}{5}

SI = 23

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