No.1 for CA/CWA & MEC/CEC MASTER MINDS 2. MATERIALS SOLUTIONS TO ASSIGNMENT PROBLEMS Problem No. 1 C AS 2 EOQ = A = Units consumed during year S = Ordering cost per order C = Inventory carrying cost per unit per annum. 100 8 X 2 50 X 000 , 10 X 2 EOQ = 4 25 X 50 X 000 , 10 X 2 EOQ = = 2,500 kg. No. of orders to be placed in a year = EOQ annum per materials of n consumptio Total = . kg 500 , 2 . kg 000 , 10 = 4 Orders per year Problem No. 2 a) Total Annual Cost in Existing Inventory Policy () Ordering cost (6 orders @ 25) 150 Carrying cost of average inventory (36,000 ÷ 6) = 6,000 units per order Average inventory = 3,000 units Carrying cost = 20% of 1 × 3,000 = 3,000 × 0.20 600 Total cost A 750 b) Total Annual Cost in E.O.Q % 20 X 1 25 X 000 , 36 X 2 EOQ = = 3000 units () No. of orders = 36,000 ÷3,000 units = 12 orders Ordering cost (12 × 25) = 300 Carrying cost of average inventory (3,000 × 0.20) ÷ 2 = 300 Total Cost B 600 Savings due to EOQ (750 – 600) (A – B) 150 Note: As the units purchase cost of 1 does not change in both the computation, the same has not been considered to arrive at total cost of inventory for the purpose of savings.
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2. MATERIALS - MASTERMINDS For CA · Purchase cost = 8,000 X(400 - 4%) 30,72,000 Ordering cost = X200 4,000 8,000 XO Q A 400 Carrying cost = X384X20% 2 4,000 XC 2 Q 1,53,600 Total
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(`) No. of orders = 36,000 ÷3,000 units = 12 orders
Ordering cost (12 × ` 25) = 300
Carrying cost of average inventory (3,000 × 0.20) ÷ 2 = 300
Total Cost B 600
Savings due to EOQ ` (750 – 600) (A – B) 150 Note: As the units purchase cost of ` 1 does not change in both the computation, the same has not been considered to arrive at total cost of inventory for the purpose of savings.
Conclusion: Immediately, by the time the existing stock will get exhausted a new delivery will be obtained (It takes 3 days for New delivery). Therefore, the new order is to be placed immediately.
Problem No. 6
Calculation of EOQ:-
Given,
Annual Usage (A) = 8,000 units
Ordering cost per order(S) = Rs.200
Carrying cost per unit p.a (C)= 400 X 20% = Rs. 80
CAS2
EOQ =80
200X000,8X2= = 200 units.
Calculation of total inventory cost p.a. at EOQ:
Particulars Amount Purchase cost = 8,000 X 400 32,00,000
Ordering cost
= 200X200000,8
XOQA
8,000
Carrying cost
= %20X400X2
200iXCX
2Q
8,000
32,16,000 Calculation of total inventory cost p.a. with quantity discount:
(ii) If Company accepts discount then order size = orders4
96000= 24000 units
Then purchase price = 720 – 2% = 19.6 Carrying cost = 19.6 X 15% = 2.94 ∴ Ordering Cost = 4 orders X 1000 = 4000
Carrying Cost = 24000 X 21
X 2.94 = 35,280
Raw Material Cost = 96,000 kgs X 19.6 per kg = 18,81,600 Total Cost at Discount = 19,20,880 Discount should be accepted by the company as it results in savings of (19,44,000 - 19,20,880) = 23,120
Problem No. 8 A = 5,000 tonnes
S = Rs.1,200
CI = 20%
P = Rs.1,500
C = 10020
X500,1 = 300
Statement showing calculation of total cost at different order sizes:
(iii) Number of orders which the company should place to minimize the costs after taking EOQ also into
consideration is 14 orders. Total cost of procurement and storage in this case comes to ` 27,416 (please refer working note-4 above), which is minimum.
Problem No. 11
A = Annual usage = 1,800 x 12 = 21,600 units
S = Ordering cost per order = Rs.5
C = Carrying cost per unit per annum = 0.20 x 12m = Rs.2.40
Treatment of shortage: Assuming it as a normal loss, treated as issues. Note 1: Returns to B & Co. is to be recorded at the price at which the material was purchased. Note 2: Returns to supplier – Issues (purchase price) Returns from production Dept. to stores Dept. – Receipts (Issue price) Note 3: Returns from production Dept. – 20-09-01 Note 4: Transfer from one job to another job – to be ignored as it is a transaction taken place only in production department. Note 5: Transfer from Dept. A to Dept. B – is to be ignored.
Assumptions:
1. Returns were made out of the issues in the month of August.
2. The purchase price of materials from M & Co. is Rs.19 per unit.
Problem No. 23
Stores Ledger of AT Ltd. for the month of September, 2011 (FIFO Method)
2. In the absence of information the price of the material received from within on 20-9-11 has been
taken as the price of the earlier issue made on 17-9-11. In FIFO method physical flow of the material is irrelevant for pricing the issues.
3. The issue of material on 26-9-11 is made out of the material received from within.
4. The entries for transfer of material from one job and department to other on 22-9-11 and 29-9-11 are book entries for adjusting the cost of respective jobs and as such they have not been shown in the stores ledger account.
5. The material found short as a result of stock taking has been written off.
Problem No. 24
Stores ledger [FIFO]
Receipts Issues Balance Date Particulars Units Rate Amount Units Rate Amount Units Rate Amount
Jan 1. Purchase 100 1 100 - - - 100
1
100
Jan 20 Purchase 100 2 200 - - - 100 100
1 2
100 200
Jan 22 Issue (Job w/16)
- - - 60 1 60 40 100
1 2
40 200
Jan 23 Issue (JobW17) - - - 40 20
1 2
40 40
80 2 160
Stores ledger [LIFO]
Receipts Issues Balance Date Particulars Units Rate Amount Units Rate Amount Units Rate Amount
Jan 1. Purchase 100 1 100 - - - 100
1
100
Jan 20 Purchase 100 2 200 - - - 100 100
1 2
100 200
Jan 22 Issue (Job W16) - - - 60 2 120 100
40 1 2
100 80
Jan 23 Issue (JobW17) - - - 40 20
2 1
80 20
80 1 80
Stores ledger [Weighted average Method]
Receipts Issues Balance Date Particulars Units Rate Amount Units Rate Amount Units Rate Amount
Jan 1. Purchase 100 1 100 - - - 100
1
100
Jan 20 Purchase 100 2 200 - - - 200 1.5 300 Jan 22 Issue
(Job W16) - - - 60 1.5 90 140 1.5 210
Jan 23 Issue (JobW17) - - - 60 1.5 90 80 1.5 120
Statement showing value of job W 16, 17 & closing stock
Particulars FIFO LIFO Weighted average 60 80 160
120 100 80
90 90 120
Material for job 16 Job 17 Closing sheet 300 300 300
Conclusion:
a) In case of Rising Prices use of FIFO give rise to high profits & LIFO Method will give low Profits
* 180 kgs. is abnormal loss, hence it will be transferred to Costing Profit & Loss A/c.
Problem No. 26 a) Total purchases over a fen rod of 6 months =2500 units (Jan to June)
Total issues over a period of 6 month = 2300 units
Closing stock in June month (2500-2300) = 200 units
Last month (June) period of 600units & issue in the same month is 400units. It means entire closing stocks on June month (200 units) are out of June month purchase. It means that there is no opening stock a June month
i) Hence No Matter which method of pricing issue is used, will result the same value of closing stock.
ii) Therefore argument of chief Accountant is tenable b) LIFO Method:
i) Under this method, the cost of materials issued will be either nearer (or) will reflect the current market price.
ii) The use of the method during the period of rising prices does not reflect undue high profit in the income statement, as it was under the FIFO (OR) Average method.
iii) In the case of falling prices, profit tends to rise due to lower material cost, yet the finished goods appear to be more competitive and are at market price.
iv) During the period of Inflation, LIFO will tend to show the correct profit & thus, avoid paying undue Taxes to some extent.
Classification of the items of inventory as per ABC analysis
1. 15 number of varieties of inventory items should be classified as ‘A’ category items because of the following reasons:
a) Constitute 0.375% of total number of varieties of inventory handled by stores of factory, which is minimum as per given classification in the table.
b) 50% of total use value of inventory holding (average) which is maximum according to the given table.
c) Highest in consumption about 85% of inventory usage (in end-product). 2. 110 number of varieties of inventory items should be classified as ‘B’ category items because of the
following reasons :
a) Constitute 2.750% of total number of varieties of inventory items handled by stores of factory.
b) Requires moderate investment of about 30% of total use value of inventory holding (average).
c) Moderate in consumption about 10% of inventory usage (in end–product). 3. 3,875 number of varieties of inventory items should be classified as ‘C’ category items because of
the following reasons:
a) Constitute 96.875% of total varieties of inventory items handled by stores of factory.
b) Requires about 20% of total use value of inventory holding (average).
c) Minimum inventory consumption i.e. about 5% of inventory usage (in end-product).