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Q.White Ltd. purchased Plant and Machinery worth ₹ 3,96,000 from Nath Ltd. The purchase consideration was paid by issue of 9% Debentures of ₹ 100 each at 10% discount. The number of debentures issued were : (A) 3,960 (B) 4,000 (C) 4,400 (D) 3,600

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White Ltd. issues 4,400 debentures of ₹100 each at 10% discount to discharge a purchase consideration of ₹3,96,000; the answer is (C) 4,400.


Concept: Purchase Consideration and Issue of Debentures at Discount

When a company acquires an asset and pays for it by issuing debentures (rather than cash), the purchase consideration — the agreed price of the asset — must equal the amount credited to the vendor. If debentures are issued at a discount, the company must issue more debentures than the face value would suggest, because each debenture is accepted by the vendor at less than its nominal (face) value.

Here the debentures have a face value of ₹100 each but are issued at 10% discount, meaning each debenture is issued at ₹90. The vendor (Nath Ltd.) receives debentures whose issue price totals ₹3,96,000, even though the face value (the liability recorded in the books) will be higher.

The accounting treatment is:

AccountDebitCreditRule
Plant and Machinery A/c₹3,96,000Asset acquired (debit the receiver / what comes in)
Discount on Issue of Debentures A/c(to be found)Loss/expense (debit; it is a capital loss, written off over the life of debentures or against Securities Premium)
9% Debentures A/cFace valueLiability created (credit)
Nath Ltd. (Vendor) A/c₹3,96,000Liability to vendor discharged by issue of debentures

The key relationship:

Issue Price per Debenture=Face Value−Discount=100−10=₹90\text{Issue Price per Debenture} = \text{Face Value} - \text{Discount} = 100 - 10 = ₹90

Number of Debentures=Purchase ConsiderationIssue Price per Debenture=3,96,00090\text{Number of Debentures} = \frac{\text{Purchase Consideration}}{\text{Issue Price per Debenture}} = \frac{3{,}96{,}000}{90}


Solution

Working Note 1: Calculation of Number of Debentures Issued

ParticularsAmount (₹)
Purchase Consideration (Plant and Machinery)3,96,000
Face Value per Debenture100
Discount per Debenture (10% of ₹100)10
Issue Price per Debenture90
Number of Debentures = ₹3,96,000 ÷ ₹904,400

The vendor Nath Ltd. is paid by issuing 4,400 debentures, each accepted at ₹90 (the discounted price), which exactly equals the purchase consideration of ₹3,96,000.

Working Note 2: Face Value and Discount (for completeness)

ParticularsAmount (₹)
Number of Debentures issued4,400
Face Value per Debenture100
Total Face Value of Debentures (Liability)4,40,000
Total Issue Price (Purchase Consideration)3,96,000
Discount on Issue of Debentures44,000

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