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G.S. Rai company ltd. purchased assets of the book value of Rs. 98,000 from another firm. It was agreed that purchase consideration be paid by issuing 11% debentures of Rs. 100 each. Assume debentures have been issued at discount of 20%

Identify the number of debentures issued by the company to the vendor

Solution

✅ Correct Option: 3

Given Information:

  • Purchase Consideration = Rs. 98,000
  • Face Value of each debenture = Rs. 100
  • Discount on issue = 20%

Calculation of Issue Price:

When debentures are issued at 20% discount:

Issue Price per debenture = Face Value - Discount

Issue Price = Rs. 100 - (20% of Rs. 100) = Rs. 100 - Rs. 20 = Rs. 80

Calculation of Number of Debentures:

The vendor needs to be paid Rs. 98,000 as purchase consideration. Since each debenture is issued at Rs. 80:

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

Number of Debentures = 98,00080\frac{98,000}{80} = 1,225 debentures


Note: When debentures are issued at a discount to settle purchase consideration, the number of debentures is calculated based on the issue price (not face value). The vendor receives 1,225 debentures of Rs. 100 face value each (total face value = Rs. 1,22,500), but these are issued at Rs. 80 each to settle the Rs. 98,000 liability.

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