X Ltd. purchased a machine worth ₹ 2,88,000 and in lieu issued debentures of ₹ 100 at a discount of 4%. The number of debentures issued will be :

Question

Accepted Answer

Here's a detailed explanation for the given question:

**Justification for Option 2 (3000) being correct:**

To determine the number of debentures issued, we first need to calculate the issue price of each debenture after accounting for the discount.

1.  **Calculate the discount per debenture:**
    The face value of one debenture is ₹ 100.
    The discount is 4%.
    Discount amount = 4% of ₹ 100 = (4/100) * ₹ 100 = ₹ 4.

2.  **Calculate the issue price per debenture:**
    The issue price is the face value minus the discount.
    Issue price per debenture = ₹ 100 - ₹ 4 = ₹ 96.

3.  **Calculate the number of debentures issued:**
    X Ltd. purchased a machine worth ₹ 2,88,000. This is the total value that needs to be covered by issuing debentures at their issue price.
    Number of debentures issued = Total value of machine / Issue price per debenture
    Number of debentures issued = ₹ 2,88,000 / ₹ 96
    Number of debentures issued = 3000

Therefore, 3000 debentures were issued, which makes Option 2 the correct answer.

**Explanation for why other options are incorrect:**

*   **Option 1 (2880):** If 2880 debentures were issued at an issue price of ₹ 96 each, the total value would be 2880 * ₹ 96 = ₹ 2,76,480. This amount is less than the machine's value of ₹ 2,88,000, so this option is incorrect.

*   **Option 3 (2770):** If 2770 debentures were issued at an issue price of ₹ 96 each, the total value would be 2770 * ₹ 96 = ₹ 2,65,920. This amount is also less than the machine's value of ₹ 2,88,000, so this option is incorrect.

*   **Option 4 (None of these):** Since our calculation clearly shows that 3000 debentures are issued, and this matches Option 2, the option "None of these" is incorrect.