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Numerical Questions · Q13

Q.On October 01, 2010, a Truck was purchased for ₹ 8,00,000 by Laxmi Transport Ltd. Depreciation was provided at 15% p.a. on the diminishing balance basis on this truck. On December 31, 2013 this Truck was sold for ₹ 5,00,000. Accounts are closed on 31st March every year. Prepare a Truck Account for the four years.

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The truck (cost ₹8,00,000, 1 Oct 2010) is depreciated @15% p.a. on the diminishing (written-down) balance, so each year's charge is 15% of the opening WDV. With the accounting year ending 31 March, 2010-11 gets 6 months and the year of sale (to 31 Dec 2013) gets 9 months. WDV at sale = ₹4,74,502; sold for ₹5,00,000 → Profit ₹25,498. (The official key prints ₹58,237, which cannot be reconciled with the stated data — the honest, fully traceable figure is ₹25,498.)

Concept & treatment. Under the diminishing balance method depreciation falls each year because it is computed on the reducing book value, not the original cost. Depreciation is credited to the Truck A/c (debited to P&L). On sale, the sale proceeds are credited to the Truck A/c; the balancing figure is profit (if proceeds exceed WDV) or loss (if less). Here proceeds ₹5,00,000 exceed WDV ₹4,74,502, so there is a profit of ₹25,498 (Dr side of the account is short by that amount → "By Profit & Loss A/c" appears... actually profit shows as "To Profit & Loss A/c" on the debit side to balance).

Truck Account (2010-11 to 2013-14)

DateParticularsAmount (₹)DateParticularsAmount (₹)
01.10.2010To Bank A/c8,00,00031.03.2011By Depreciation A/c (6 m, WN1)60,000
31.03.2011By Balance c/d7,40,000
8,00,0008,00,000
01.04.2011To Balance b/d7,40,00031.03.2012By Depreciation A/c (WN2)1,11,000
31.03.2012By Balance c/d6,29,000
7,40,0007,40,000
01.04.2012To Balance b/d6,29,00031.03.2013By Depreciation A/c (WN3)94,350
31.03.2013By Balance c/d5,34,650
6,29,0006,29,000
01.04.2013To Balance b/d5,34,65031.12.2013By Depreciation A/c (9 m, WN4)60,148
31.12.2013To Profit & Loss A/c (profit, WN5)25,49831.12.2013By Bank A/c (sale)5,00,000
5,60,1485,60,148

Working Notes

  1. 2010-11 depreciation (truck used 1 Oct–31 Mar = 6 months) = ₹8,00,000 × 15% × 6/12 = ₹60,000. WDV = ₹8,00,000 − ₹60,000 = ₹7,40,000.
  2. 2011-12 depreciation = ₹7,40,000 × 15% = ₹1,11,000. WDV = ₹6,29,000.
  3. 2012-13 depreciation = ₹6,29,000 × 15% = ₹94,350. WDV = ₹5,34,650. …

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