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The following journal entry appears in the books of X Co. Ltd.

Bank A/c Dr. 4,75,000

Loss on issue of debenture A/c Dr. 75,000

To 12% Debentures A/c 5,00,000

To Premium on Redemption of Debenture A/c 50,000

In this case the debentures have been issued at a discount of 5% . What is the rate of premium on redemption of debentures?

Solution

✅ Correct Option: 4

Looking at the journal entry, we need to identify the components and calculate the rate of premium on redemption.

Given information:

  • Face Value of Debentures = ₹5,00,000 (credit to 12% Debentures A/c)
  • Amount received in Bank = ₹4,75,000
  • Discount on issue = 5%
  • Premium on Redemption = ₹50,000 (credit balance)

Verification of discount on issue:

Discount on issue = 5% of ₹5,00,000 = ₹25,000

This explains why Bank received = ₹5,00,000 - ₹25,000 = ₹4,75,000

Understanding Loss on Issue of Debenture:

The Loss on Issue of Debenture (₹75,000) represents the total burden on the company, which includes both:

  • Discount on issue
  • Premium on redemption

Loss on Issue = Discount on Issue + Premium on Redemption

₹75,000 = ₹25,000 + ₹50,000 ✓

Calculating rate of premium on redemption:

Rate of Premium on Redemption = Premium on RedemptionFace Value\frac{\text{Premium on Redemption}}{\text{Face Value}} × 100

Rate = 50,0005,00,000\frac{50,000}{5,00,000} × 100 = 10%

The company will have to pay ₹5,00,000 + ₹50,000 = ₹5,50,000 at the time of redemption, even though it received only ₹4,75,000 at the time of issue.

Correct Option: 4 (10%)

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