Question 41 of 43advanced🔧 ApplyNumerical6 marks

A Plant was purchased on 1st July, 2015 at a cost of ₹ 3,00,000 and ₹ 50,000 were spent on its installation. The depreciation is written off at 15% p.a. on the straight line method. The plant was sold for ₹ 1,50,000 on October 01, 2017 and on the same date a new Plant was installed at the cost of ₹ 4,00,000 including purchasing value. The accounts are closed on December 31 every year.

Show the machinery account and provision for depreciation account for 3 years.

Correct Answer

Working Notes:

1. Calculation of Cost of Plant (Old): Purchase Price = ₹ 3,00,000 Installation Cost = ₹ 50,000 Total Cost = ₹ 3,50,000

2. Calculation of Depreciation (Old Plant): Rate = 15% p.a. on ₹ 3,50,000 = ₹ 52,500 p.a.

  • 2015 (July 1 to Dec 31): 6 months Depreciation = 52,500×6500 \times 6/12 = ₹ 26,250
  • 2016 (Jan 1 to Dec 31): 12 months Depreciation = ₹ 52,500
  • 2017 (Jan 1 to Oct 1): 9 months Depreciation = 52,500×9500 \times 9/12 = ₹ 39,375

3. Calculation of Loss on Sale of Plant: Total Depreciation charged = 26,250 + 52,500 + 39,375 = ₹ 1,18,125 Book Value at date of sale = Cost - Depreciation Book Value = 3,50,000 - 1,18,125 = ₹ 2,31,875 Sale Value = ₹ 1,50,000 Loss on Sale = 2,31,875 - 1,50,000 = ₹ 81,875

4. Depreciation on New Plant (2017): Cost = ₹ 4,00,000 Period (Oct 1 to Dec 31) = 3 months Depreciation = 4,00,000×15000 \times 15% × 3/12 = ₹ 15,000


Machinery Account

DateParticularsAmount (₹)DateParticularsAmount (₹)
20152015
July 01To Bank A/c3,50,000Dec 31By Balance c/d3,50,000
20162016
Jan 01To Balance b/d3,50,000Dec 31By Balance c/d3,50,000
20172017
Jan 01To Balance b/d3,50,000Oct 01By Provision for Dep. A/c1,18,125
Oct 01To Bank A/c (New)4,00,000Oct 01By Bank A/c (Sale)1,50,000
Oct 01By Profit & Loss A/c (Loss)81,875
Dec 31By Balance c/d4,00,000
Total7,50,000Total7,50,000

Provision for Depreciation Account

DateParticularsAmount (₹)DateParticularsAmount (₹)
20152015
Dec 31To Balance c/d26,250Dec 31By Depreciation A/c26,250
20162016
Dec 31To Balance c/d78,750Jan 01By Balance b/d26,250
Dec 31By Depreciation A/c52,500
Total78,750Total78,750
20172017
Oct 01To Machinery A/c (Transfer)1,18,125Jan 01By Balance b/d78,750
Dec 31To Balance c/d15,000Oct 01By Depreciation A/c (Old)39,375
Dec 31By Depreciation A/c (New)15,000
Total1,33,125Total1,33,125
Exercise: Numerical Problems | Q: 20 | (Page 50)
For More Understanding

Explanation

This solution applies the Straight Line Method of depreciation as specified in the context. The cost of the plant includes the purchase price plus installation expenses (₹ 3,00,000 + ₹ 50,000). Depreciation is calculated based on the time the asset was used during the accounting year (ending Dec 31).

For the sale of the plant, the accumulated depreciation up to the date of sale (Oct 1, 2017) is transferred from the Provision for Depreciation Account to the Machinery Account. The book value is then compared against the sale price to determine the loss on sale (₹ 81,875). Finally, depreciation on the new plant is calculated for 3 months (Oct to Dec).

Solution Steps

  1. Step 1: Determine the original cost of the machine by adding purchase price (₹ 3,00,000) and installation costs (₹ 50,000) to get ₹ 3,50,000.

  2. Step 2: Calculate depreciation for 2015 (6 months), 2016 (full year), and 2017 up to the sale date (9 months) using the 15% flat rate.

  3. Step 3: Determine the Book Value at the time of sale (Cost - Accumulated Depreciation) and subtract the Sale Price to find the Loss on Sale (₹ 81,875).

  4. Step 4: Prepare the Machinery Account, recording the purchase, the sale entry (including accumulated depreciation and loss), and the new purchase.

  5. Step 5: Prepare the Provision for Depreciation Account, showing the balance brought forward, the depreciation for the current year(s), and the transfer of accumulated depreciation on the sold asset.