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X Co. Ltd. purchased assets worth Rs. 28,80,000. It issued debentures of Rs. 100 each at a discount of 4 % in full satisfaction of the purchase consideration. The number of debentures issued to vendors is:

Solution

✅ Correct Option: 1

Given Information:

  • Purchase consideration for assets = Rs. 28,80,000
  • Face value of each debenture = Rs. 100
  • Debentures issued at 4% discount

Finding the Issue Price per Debenture:

When debentures are issued at 4% discount:

Discount per debenture = 4% of Rs. 100 = Rs. 4

Issue price per debenture = Face value - Discount

Issue price per debenture = Rs. 100 - Rs. 4 = Rs. 96


Calculating Number of Debentures:

Since debentures are issued in full satisfaction of purchase consideration, the total amount received from issuing debentures equals the purchase consideration.

Number of debentures = Purchase ConsiderationIssue Price per Debenture\frac{\text{Purchase Consideration}}{\text{Issue Price per Debenture}}

Number of debentures = 28,80,00096\frac{28,80,000}{96} = 30,000 debentures


Verification:

30,000 debentures × Rs. 96 = Rs. 28,80,000 ✓

The vendors receive 30,000 debentures of Rs. 100 each (face value = Rs. 30,00,000) but the issue value is only Rs. 28,80,000, which exactly satisfies the purchase consideration.

Answer: Option 1: 30,000

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