Question:

Universal Ltd. took over machinery of ₹ 3,30,000, furniture of ₹ 1,60,000 and liabilities of ₹ 80,000 from Amol Ltd. for a purchase consideration of ₹ 4,50,000. The payment to Amol Ltd. was made by issue of 10% Debentures of ₹ 50 each at a discount of 10%. The number of debentures issued to Amol Ltd. was:

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When debentures are issued at discount:
  • Issue Price = Face Value - Discount
  • Number of Debentures = Purchase Consideration ÷ Issue Price
Always use the issue price (not face value) to calculate the number of debentures when issued at discount or premium.
  • 1,000
  • 4,500
  • 45,000
  • 10,000
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The Correct Option is D

Solution and Explanation

We need to find the number of debentures issued by Universal Ltd. to Amol Ltd. as payment for the purchase consideration.
Step 1: Identify the purchase consideration.
Purchase consideration = ₹ 4,50,000
(This is the amount to be paid to Amol Ltd.) Step 2: Understand the terms of debenture issue.
Debentures are of:
  • Face value = ₹ 50 each
  • Issued at a discount of 10%
Discount = 10% of face value = 10% of ₹ 50 = ₹ 5 per debenture Step 3: Calculate the issue price per debenture.
Issue price = Face value - Discount
Issue price = ₹ 50 - ₹ 5 = ₹ 45 per debenture Step 4: Calculate the number of debentures to be issued.
Number of debentures = \(\frac{\text{Purchase Consideration}}{\text{Issue Price per Debenture}}\) \[ \text{Number of debentures} = \frac{4,50,000}{45} = 10,000 \] Step 5: Verify.
10,000 debentures × ₹ 45 = ₹ 4,50,000 ✓ Final Answer: (D) 10,000
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