The problem asks to calculate the simple interest on a principal of $₹2000$ at an annual interest rate of $6\%$ for the period from February 3, 2023, to April 17, 2023. We need to find the simple interest in ₹.

1. Problem Description

The problem asks to calculate the simple interest on a principal of $₹2000$ at an annual interest rate of $6\%$ for the period from February 3, 2023, to April 17,

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3. We need to find the simple interest in ₹.

2. Solution Steps

First, we need to determine the number of days in the given period.

February has 28 days in

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3. Number of days in February (from Feb 3 to Feb 28) = $28 - 3 + 1 = 26$ days.

Number of days in March = 31 days.

Number of days in April (from April 1 to April 17) = 17 days.

Total number of days = $26 + 31 + 17 = 74$ days.

The formula for simple interest is:

$Simple\ Interest = \frac{Principal \times Rate \times Time}{100}$

Where:

Principal = $₹2000$

Rate = $6\%$ per annum

Time = $\frac{74}{365}$ years

$Simple\ Interest = \frac{2000 \times 6 \times 74}{100 \times 365}$

$Simple\ Interest = \frac{20 \times 6 \times 74}{365}$

$Simple\ Interest = \frac{8880}{365}$

$Simple\ Interest \approx 24.328767$

Rounding to two decimal places, the simple interest is approximately $₹24.33$.

None of the given options match the calculated simple interest. It seems like the provided answer of 1.24 is incorrect. Let's verify the provided solution to be sure.

3. Final Answer

The simple interest is approximately $₹24.33$. Since this is not one of the provided options, and the provided answer of ₹1.24 is incorrect, the correct answer is not present in the given options.

Final Answer: None of the provided options are correct.