Question

Average stock of a firm is Rs 40000.its opening stock is Rs 5000 less than the closing

stock. Calculate opening and closing stock amounts.​

Answer 1

Answer:

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Answer 2

Given:

The average stock of a firm is Rs 40000

The opening stock is Rs 5000 less than the closing  stock.

To find:

The opening and closing stock amounts.​

Solution:

Let's assume,

"x" → the opening stock

"y" → the closing stock

We are given that the opening stock is Rs. 5000 less than the closing stock, so we can form an equation as,

$x = y - 5000$ ..... (i)

Now,

Average Stock = $\frac{1}{2}$ × [Opening Stock + Closing Stock]

substituting the value of Average stock = Rs. 40,000

$\implies 40000 = \frac{1}{2} \times [x + y]$

substituting the value of x from (i)

$\implies 40000 = \frac{1}{2} \times [(y - 5000) + y]$

$\implies 80000 = 2y - 5000$

$\implies 2y = 80000 + 5000$

$\implies y = \frac{85000}{2}$

$\implies y = Rs. \: 42500$ ← closing stock

∴ $x = y - 5000 = 42500 - 5000 = Rs.\: 37500$ ← opening stock

Thus,

The amount of opening stock is Rs. 37500

and

The amount of closing stock is Rs. 42500.

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