If average inventory is Rs50 000 and closing inventory is Rs2 000 less than the opening inventory op...........

If average inventory is Rs50,000 and closing inventory is Rs2,000 less than the opening inventory, opening and closing inventory will be :

Rs52,000 and Rs50,000

Rs50,000 and Rs48,000

Rs48,000 and Rs46,000

Rs51,000 and Rs49,000

- The formula for average inventory is given by \( \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2} = \text{Average Inventory} \).

- Given that the average inventory is Rs 50,000, we have:

\((\text{Opening Inventory} + \text{Closing Inventory}) / 2 = 50,000\).

- Multiply through by 2:

\(\text{Opening Inventory} + \text{Closing Inventory} = 100,000\).

- Given that closing inventory is Rs 2,000 less than the opening inventory:

\(\text{Closing Inventory} = \text{Opening Inventory} - 2,000\).

- Substitute:

\(\text{Opening Inventory} + (\text{Opening Inventory} - 2,000) = 100,000\).

- Solve for the opening inventory:

\(2\text{Opening Inventory} - 2,000 = 100,000\)

=> \(2\text{Opening Inventory} = 102,000\)

=> \(\text{Opening Inventory} = 51,000\).

- Therefore, \(\text{Closing Inventory} = 49,000\).

Option:4, Rs51,000 and Rs49,000 is correct.

Submit Error