Question

In: Finance

Chris Company uses the perpetual inventory system and had the following activity during the current monthly...

Chris Company uses the perpetual inventory system and had the following activity during the current monthly period.

November 1:             Beginning Inventory of 100 units @$20

November 5:              Purchased 100 units @ $22

November 8:              Purchased 50 units @$23

November 16:            Sold 200 units @ $45

November 19:            Purchased 50 units @ $25

Using the weighted-average inventory method, the company's ending inventory would be reported at:

A)   $2,200.

B) $2,320.

C) $2,250.

D) $2,400.

E) $2,270.

The answer is B but I need a detailed explanation because I do not understand this at all.

Solutions

Expert Solution

We need to understand the following table first:

Weighted average Purchase Issue Balance Sales Revenue & Profit
Date Unit Rate Amount Unit Rate Amount Unit Rate Amount Unit Rate Sales Revenue Profit
01-Nov 100 20 2000 100 20 2000
05-Nov 100 22 2200 200 21 4200 0 225 0 0
08-Nov 50 23 1150 250 21.4 5350
16-Nov 200 21.4 4280 50 21.4 1070 200 45 9000 4720
19-Nov 50 25 1250 100 23.2 2320
Total 300 6600 200 4280 100 2320 9000 4720
  1. On 1st nov, the opening balance is given as 100 units @20
  2. On 5th nov, we purchase 100 more units @22, therefore the balance would be 200 units and the cost of these is 100x20+100x22 = 4200, therefore the weighted average cost per unit = 4200/200= 21
  3. On 8th nov, we purchase 50 more units @23, therefore the balance would be 250 units and the cost of these is 100x20+100x22 +50 x23 = 5350, therefore the weighted average cost per unit = 5350/250= 21.40
  4. On 16th nov, we sell 200 more units the cost of which is 21.40, therefore the balance after the sale would be 250 -200 =50units and the weighted average cost per unit = 21.40
  5. The sale price was 45 per unit therefore the profit is (45-21.40) x 200 = 4720
  6. On 19th nov, we purchase 50 more units @25, therefore the balance would be 100 units and the cost of these is 50x21.40+50x25 = 2320, therefore the weighted average cost per unit = 2320/100= 23.20
  7. Therefore the correct answer is B

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