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Q.Nigam Ltd. issued 40,000, 11% Debentures of ₹ 100 each at a certain rate of discount. The debentures were to be redeemed at 20% premium. Existing balance of Securities Premium before issue of these debentures was ₹ 13,00,000. After writing off 'Loss on issue of debentures', the balance in Securities Premium was ₹ 3,00,000. The above debentures were issued at a discount of : (A) 20% (B) 15% (C) 10% (D) 5%

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The debentures were issued at a discount of 5%.

When debentures are issued at a discount and/or are redeemable at a premium, the company incurs a capital loss. This loss is termed 'Loss on Issue of Debentures'. This account is a fictitious asset (or deferred revenue expenditure) and represents the total cost associated with issuing debentures below par and/or redeeming them above par. It is typically written off over the tenure of the debentures, usually against the Securities Premium Reserve or, if that is insufficient, against the Statement of Profit & Loss.

The 'Loss on Issue of Debentures' account comprises two main components:

  1. Discount on Issue of Debentures: This is the difference between the face value of the debentures and the issue price when debentures are issued below par.
  2. Premium on Redemption of Debentures: This is the additional amount payable over and above the face value when debentures are redeemed at a premium. This premium is a liability for the company and is recognised at the time of issue.

According to Section 52 of the Companies Act, 2013, the Securities Premium Reserve can be used for specific purposes, one of which is to write off the discount allowed on the issue of shares or debentures, or the premium payable on the redemption of any redeemable preference shares or debentures.

In this problem, we are given the opening and closing balances of the Securities Premium Reserve after writing off the 'Loss on Issue of Debentures'. This allows us to determine the total amount of 'Loss on Issue of Debentures' that was written off. Once we have this total loss and the premium on redemption, we can isolate the discount on issue and subsequently calculate the discount rate.

Derivation of the Answer

  1. Calculate the total face value of debentures:

    Number of Debentures ×\times Face Value per Debenture

    40,000 debentures×₹100/debenture=₹40,00,00040,000 \text{ debentures} \times ₹100/\text{debenture} = ₹40,00,000

  2. Calculate the Premium on Redemption:

    The debentures are to be redeemed at a 20% premium. This premium is calculated on the face value.

    Premium on Redemption = 20%20\% of ₹40,00,000=₹8,00,000₹40,00,000 = ₹8,00,000

  3. Determine the 'Loss on Issue of Debentures' written off:

    The Securities Premium balance decreased from ₹13,00,000 to ₹3,00,000 after writing off the 'Loss on Issue of Debentures'. The difference represents the amount of loss written off.

    Loss on Issue of Debentures written off = Existing Securities Premium - Securities Premium after writing off loss

    Loss on Issue of Debentures written off = ₹13,00,000−₹3,00,000=₹10,00,000₹13,00,000 - ₹3,00,000 = ₹10,00,000

  4. Calculate the Discount on Issue of Debentures:

    As established, the 'Loss on Issue of Debentures' comprises both the discount on issue and the premium on redemption.

    Loss on Issue of Debentures = Discount on Issue + Premium on Redemption

    ₹10,00,000=Discount on Issue+₹8,00,000₹10,00,000 = \text{Discount on Issue} + ₹8,00,000 …

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