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Q.Shyamla Ltd. purchased machinery of ₹ 9,50,000 from Rohini Ltd. The payment was made by issue of 9% debentures of ₹ 100 each at a discount of 5% redeemable at a premium of 10% after four years. The number of debentures issued in favour of Rohini Ltd. will be : (A) 10,000 (B) 9,500 (C) 9,050 (D) 8,636

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Shyamla Ltd. must issue 10,000 debentures of ₹100 each to Rohini Ltd. to discharge the purchase consideration of ₹9,50,000, because the debentures are issued at a discount of 5% (₹95 per debenture).

Concept: Purchase Consideration and Issue of Debentures as Consideration

When a company acquires an asset and pays for it by issuing debentures instead of cash, the purchase consideration (the agreed price of the asset) must equal the issue price of the debentures, not their face value or redemption value.

Here, Shyamla Ltd. buys machinery worth ₹9,50,000. Payment is made by issuing 9% debentures of ₹100 face value each, but these debentures are issued at a discount of 5%. This means each debenture is issued at:

Issue Price per Debenture=Face Value−Discount=₹100−5% of ₹100=₹100−₹5=₹95\text{Issue Price per Debenture} = \text{Face Value} - \text{Discount} = ₹100 - 5\% \text{ of } ₹100 = ₹100 - ₹5 = ₹95

The number of debentures to be issued is determined by dividing the purchase consideration by the issue price per debenture:

Number of Debentures=Purchase ConsiderationIssue Price per Debenture=₹9,50,000₹95\text{Number of Debentures} = \frac{\text{Purchase Consideration}}{\text{Issue Price per Debenture}} = \frac{₹9,50,000}{₹95}

The redemption premium of 10% and the four-year maturity are relevant for future accounting (the liability at redemption and the amortization of discount/premium), but they do not affect the number of debentures issued today. The vendor, Rohini Ltd., receives debentures whose current issue value equals the machinery's price.

Watch out

A common mistake is to use the face value (₹100) or the redemption value (₹110) to calculate the number of debentures. The issue price—what the debentures are worth at the time of issue—is the correct denominator, because that is the consideration actually given to the vendor.

Solution

Working Note 1: Calculation of Number of Debentures

Number of Debentures=₹9,50,000₹95=10,000 debentures\text{Number of Debentures} = \frac{₹9,50,000}{₹95} = 10,000 \text{ debentures}

Verification:

  • Face Value of 10,000 debentures = 10,000 × ₹100 = ₹10,00,000
  • Discount on Issue = 5% of ₹10,00,000 = ₹50,000
  • Issue Price (amount credited to vendor) = ₹10,00,000 − ₹50,000 = ₹9,50,000 ✓

The accounting entries in Shyamla Ltd.'s books would be: …

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