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Q.On 1st April, 2024, DD Ltd. issued 2,000, 9% Debentures of ₹ 50 each at a premium of 5%, redeemable at a premium of ₹ 10 per debenture after five years. Interest on the debentures was to be paid on half-yearly basis on 30th September and 31st March. Interest on the debentures for the year ended 31st March, 2025 will be : (A) ₹ 4,500 (B) ₹ 9,000 (C) ₹ 9,450 (D) ₹ 4,725

CBSECBSE Class XII Board 2026MCQ· 1mImportance★★★★★
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The interest on debentures for the year ended 31st March, 2025 is ₹9,000, calculated on the face value of the debentures at the stated coupon rate, irrespective of the issue price or redemption premium.

Concept First: Why Interest is Calculated on Face Value

The key principle here is that interest on debentures is always calculated on the face value (nominal value) of the debentures, not on the issue price (which may include a premium) or the redemption value. The 9% coupon rate is applied to the ₹50 face value per debenture.

The premium on issue (₹5 per debenture) and the premium on redemption (₹10 per debenture) are capital items. They affect the company's securities premium account and the loss on issue of debentures account, respectively — but they have no bearing on the interest calculation. Interest is a charge against profit, paid to debenture holders as compensation for the use of their funds, and that compensation is contractually fixed on the face value.

Watch out

Common Pitfall

Students often mistakenly calculate interest on the issue price (₹55) or the redemption price (₹60). This is incorrect. The coupon rate is always applied to the face value (₹50) unless the question explicitly states otherwise. The premium on issue is a capital receipt, not income for the debenture holder in the context of interest.

Solution: Calculating the Interest

Step 1: Determine the total face value of debentures issued.

Number of debentures = 2,000

Face value per debenture = ₹50

Total face value = 2,000 × ₹50 = ₹1,00,000

Step 2: Apply the annual interest rate.

Annual interest rate = 9%

Annual interest = 9% of ₹1,00,000 = ₹9,000

Step 3: Verify the half-yearly payment (for understanding, though the question asks for the annual amount).

Half-yearly interest = ₹9,000 ÷ 2 = ₹4,500

This would be paid on 30th September 2024 and 31st March 2025.

Since the question asks for the interest for the year ended 31st March, 2025, it covers the full financial year from 1st April 2024 to 31st March 2025. Both half-yearly payments fall within this period. …

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