Worked Solution
✓ VerifiedDepartmental Trading Account for the year ended 31st December, 2014
The key challenge in this problem is that the gross profit ratios are given on normal selling price, but some goods were sold at a discount. Therefore, to compute the cost of goods sold, we must first determine the notional normal selling price of all goods actually sold.
Step 1 – Adjust Sales to Normal Selling Price (for cost computation)
For goods sold at a discount, cost must be based on the normal price (not the actual discounted price). Adjusted Sales at Normal Price = (Actual Sales – Sales at actual/discounted price) + Sales at normal price.
- P: 1,88,000 – 11,000 + 15,000 = ₹1,92,000
- Q: 1,66,000 – 6,000 + 8,000 = ₹1,68,000
- R: 93,000 – 4,000 + 6,000 = ₹95,000
Step 2 – Cost of Goods Sold
Using cost ratio (100% – GP%) applied to adjusted normal sales:
- P: 75% × 1,92,000 = ₹1,44,000
- Q: 66⅔% × 1,68,000 = ₹1,12,000
- R: 60% × 95,000 = ₹57,000
(i) Departmental Results – Gross Profit
GP = Actual Sales – Cost of Goods Sold:
- P: 1,88,000 – 1,44,000 = ₹44,000
- Q: 1,66,000 – 1,12,000 = ₹54,000
- R: 93,000 – 57,000 = ₹36,000
Cross-check: GP on normal sales less discount given → P: 48,000 – 4,000 = 44,000 ✓; Q: 56,000 – 2,000 = 54,000 ✓; R: 38,000 – 2,000 = 36,000 ✓
(ii) Value of Closing Stock as on 31st December, 2014
Closing Stock = Opening Stock + Purchases – Cost of Goods Sold:
- P: 30,000 + 1,60,000 – 1,44,000 = ₹46,000
- Q: 45,000 + 1,30,000 – 1,12,000 = ₹63,000
- R: 15,000 + 60,000 – 57,000 = ₹18,000
Write it like this
1The skeleton
- Lead with the adjustment logic in one line — write 'Since GP% is on normal selling price, adjusted sales = Actual Sales – Discounted Sales + Normal Price Sales' before any numbers, so the examiner sees you understood the twist before checking your arithmetic.
- Show the adjusted normal sales line department-wise — lay out P/Q/R in a clean row format; this is where most marks sit and the examiner needs to trace your logic instantly.
- Derive cost of goods sold using the cost ratio explicitly — write '100% – 25% = 75% (cost ratio)' for each department so the examiner doesn't have to infer where your figure came from; one missing ratio = lost method mark.
- Present GP as Actual Sales minus COGS, not adjusted sales — this is the final answer for part (i) and must tie to actual cash received, not the notional normal price.
- Use the stock equation for closing stock — write 'Opening Stock + Purchases – COGS = Closing Stock' as a formula line before plugging numbers; examiners reward structure over bare computation.
- End with a cross-check line — 'GP on normal sales less discount = same GP' takes 20 seconds and signals exam-hall confidence; it also saves you if you made an arithmetic slip earlier.
2Examiner-rewarded phrases
3Common trap
Most students apply the GP% directly to actual discounted sales and get wrong COGS — that's the whole trap the question is built around. If you don't adjust sales to normal price first, your closing stock and GP are both wrong and you lose all four marks even though your arithmetic is perfect.