Question 1 (c)
Closing inventory, cost of goods sold and gross profit: FIFO and weighted average
6 marks
- Time to write
- About 12 minutes
From an older CBCS paper
Question
Question 1 (c) · 6 marksAccording to FIFO and the Weighted Average Method, calculate on March 31, 2017 the value of closing inventory, the Cost Of Goods Sold and the Gross Profit: 6
March
| 01 | Stock in hand | 600 units @ ₹ 10 per unit |
| 07 | Purchases | 9,000 units @ ₹ 12 per unit |
| 10 | Sold | 7,200 units @ ₹15 per unit |
| 12 | Sold | 1,440 units @ ₹ 18 per unit |
| 15 | Purchased | 6,000 units @ ₹ 13 per units |
| 25 | Sold | 4,200 units @ ₹ 23 per unit |
| 30 | Purchase returns | 600 units (from the goods purchased on March 15) |
Reworded from the university paper: names and figures differ, the task is the same. The original paper belongs to the University of Delhi. See DU's question bank.
Before you write
Read off the question and its marks
Read from the question
- calculateFormula first, then the working, then the answer with its unit (₹, %, units).
What the paper leaves open
Weighted average is read as the perpetual (moving) weighted average, recalculated after each purchase; the purchase return comes out of the 15th March lot at its cost. The answer states this and shows the periodic weighted average as the other reading.
Write it in this order
- Read the data; note exactly what is asked 1 min
- 1 Sales and units in hand 1 mark 2 min
- 2 FIFO: closing inventory, cost of goods sold, gross profit 2½ marks 4 min
- 3 Weighted average: closing inventory, cost of goods sold, gross profit 2½ marks 4 min
- Check: arithmetic, units (₹, %), final answer underlined 1 min
Try it first. About 12 minutes for 6 marks. Write it out, then open the solution.
Solution
Hover or tap a marked figure, like 72,000, to see how it is made and where else it appears.
| Date | Units | Price (₹) | Sales (₹) |
|---|---|---|---|
| 10 March | 7,200 | 15 | 1,08,000 |
| 12 March | 1,440 | 18 | 25,920 |
| 25 March | 4,200 | 23 | 96,600 |
| Total | 12,840 | 2,30,520 |
Units in hand at 31 March: 600 + 9,000 − 7,200 − 1,440 + 6,000 − 4,200 − 600 = 2,160. The purchase return of 600 units leaves the 15 March lot at ₹13 (paper note).
(a) FIFO
Under FIFO the earliest costs are issued first; perpetual and periodic FIFO give the same result.
| Date | Issue / receipt | Cost of goods sold (₹) | Balance in hand |
|---|---|---|---|
| 10 March | 600 @ 10 + 6,600 @ 12 | 85,200 | 2,400 @ 12 |
| 12 March | 1,440 @ 12 | 17,280 | 960 @ 12 |
| 15 March | received 6,000 @ 13 | 960 @ 12; 6,000 @ 13 | |
| 25 March | 960 @ 12 + 3,240 @ 13 | 53,640 | 2,760 @ 13 |
| 30 March | returned 600 @ 13 | 2,160 @ 13 |
- Closing inventory = 2,160 × 13 = ₹28,080
- Cost of goods sold = 85,200 + 17,280 + 53,640 = ₹1,56,120
- Gross profit = 2,30,520 − 1,56,120 = ₹74,400
(b) Weighted average (perpetual)
The average is recalculated as each new lot is received (paper note).
| Date | Receipt / issue | Units in hand | Value (₹) | Average (₹) | Cost of issue (₹) |
|---|---|---|---|---|---|
| 1 March | Opening | 600 | 6,000 | 10.00 | |
| 7 March | Purchase 9,000 @ 12 | 9,600 | 1,14,000 | 11.875 | |
| 10 March | Issue 7,200 | 2,400 | 28,500 | 11.875 | 85,500 |
| 12 March | Issue 1,440 | 960 | 11,400 | 11.875 | 17,100 |
| 15 March | Purchase 6,000 @ 13 | 6,960 | 89,400 | 12.8448 | |
| 25 March | Issue 4,200 | 2,760 | 35,451.72 | 12.8448 | 53,948.28 |
| 30 March | Return 600 @ 13 | 2,160 | 27,651.72 | 12.8017 | |
| Cost of goods sold | 1,56,548.28 |
- Closing inventory = ₹27,651.72
- Cost of goods sold = ₹1,56,548.28
- Gross profit = 2,30,520 − 1,56,548.28 = ₹73,971.72
Check. Opening 6,000 + net purchases (1,08,000 + 78,000 − 7,800 = 1,78,200) = 1,84,200 = cost of goods sold + closing inventory under both methods.
The other reading (periodic weighted average). AS 2 allows the average to be calculated on a periodic basis: 1,84,200 ÷ 15,000 units = ₹12.28; closing inventory 2,160 × 12.28 = ₹26,524.80; cost of goods sold ₹1,57,675.20; gross profit ₹72,844.80.
Where the 6 marks sit
| # | Component | Marks |
|---|---|---|
| 1 | Sales and units in hand | 1 |
| 2 | FIFO: closing inventory, cost of goods sold, gross profit | 2.5 |
| 3 | Weighted average: closing inventory, cost of goods sold, gross profit | 2.5 |
| Total | 6 |
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