Question

Average Inventory = 12,000. Closing Inventory is 3,000 more than opening Inventory. The value
of closing Inventory =(a)13500
(b) 12000 (c)24000

Answer 1

Explanation:

let opening inventory =x

(opening inventory + closing inventory )/2=avg .inventory

Answer 2

Answer:

(a). 13,500

Closing Inventory = 13,500

Explanation:

Given :

Average Inventory = 12,000

Closing Inventory is 3,000 more than Opening Inventory

To find :

The value of Closing Inventory

Solution :

$\sf{Average\:Inventory =\dfrac{Opening\: Inventory \: +\:Closing \:Inventory}{2}}$

Let,

Opening Inventory = x

Closing Inventory = x + 3,000

⇒$\sf{12,000 = \dfrac{x \: + \:( x \: + \: 3,000)}{2}}$

⇒ $\sf{12,000 = \dfrac{2x \: + \: 3,000}{2}}$

⇒ 12,000 × 2 = 2x + 3,000

⇒ 24,000 = 2x + 3,000

⇒ 24,000 - 3,000 = 2x

⇒ 21,000 = 2x

⇒ $\sf{x = \dfrac{21,000}{2}}$

⇒ x = 10,500

Opening Inventory = 10,500

Closing Inventory = x + 3,000

⇒ 10,500 + 3,000

⇒ 13,500

Closing Inventory = 13,500

Therefore,

(a). 13,500

Closing Inventory = 13,500