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प्रश्न
| Cash Revenue from Operations (Cash Sales) | ₹ 1,00,000 |
| Credit Revenue from Operations (Credit Sales) | ₹ 5,00,000 |
| Gross Profit | ₹ 1,20,000 |
| Inventory Turnover Ratio | 4 times |
Calculate the value of Opening and Closing Inventory in each of the following alternative cases:
Case I: If closing inventory was ₹ 1,00,000 in excess of opening inventory.
Case II: If closing inventory was 2 times that in the beginning.
Case III: If closing inventory was 2 times more than that in the beginning.
Case IV: If closing inventory was 3 times that in the beginning.
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उत्तर
Cost of Revenue from Operations = Cash Revenue from Operations + Credit Revenue from Operations − Gross Profit
= ₹ 1,00,000 + ₹ 5,00,000 − ₹ 1,20,000
= ₹ 4,80,000
Inventory Turnover Ratio = `"Cost of Revenue from Operations"/"Average Inventory"`
4 = `(₹ 4,80,000)/("Average Inventory")`
Average Inventory = `(₹ 4,80,000)/4`
= ₹ 1,20,000
Case I:
Opening Inventory = ₹ 1,20,000 − `1/2` of ₹ 1,00,000
= ₹ 1,20,000 − ₹ 50,000
= ₹ 70,000
Closing Inventory = ₹ 70,000 + ₹ 1,00,000
= ₹ 1,70,000
Case II:
Let Opening Inventory = x
Closing Inventory = 2x
Average Inventory = `("Opening Inventory" + "Closing Inventory")/2`
₹ 1,20,000 = `(x + 2x)/2`
₹ 1,20,000 × 2 = x + 2x
₹ 2,40,000 = 3x
`(₹ 2,40,000)/3` = x
x = ₹ 80,000
Opening Inventory = ₹ 80,000
Closing Inventory = ₹ 80,000 × 2
= ₹ 1,60,000
Case III:
Let Opening Inventory = x
Closing Inventory = x + 2x
= 3x
Average Inventory = `("Opening Inventory" + "Closing Inventory")/2`
₹ 1,20,000 = `(x + 3x)/2`
₹ 1,20,000 × 2 = x + 3x
₹ 2,40,000 = 4x
`(₹ 2,40,000)/4` = x
x = ₹ 60,000
Opening Inventory = ₹ 60,000
Closing Inventory = ₹ 60,000 × 3
= ₹ 1,80,000
Case IV:
Let Opening Inventory = x
Closing Inventory = 3x
Average Inventory = `("Opening Inventory" + "Closing Inventory")/2`
₹ 1,20,000 = `(x + 3x)/2`
₹ 1,20,000 × 2 = x + 3x
₹ 2,40,000 = 4x
`(₹ 2,40,000)/4` = x
x = ₹ 60,000
Opening Inventory = ₹ 60,000
Closing Inventory = ₹ 60,000 × 3
= ₹ 1,80,000
