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Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.?
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Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg...
Problem Statement: Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.
Solution:
To solve this problem using matrix multiplication method, we need to follow the following steps:
Step 1: Create a matrix of the commodities and their prices in ARPICO and CARGILLS as shown below:
| Commodities | ARPICO | CARGILLS |
|-------------|--------|----------|
| Sugar | 20 | 15 |
| Wheat | 10 | 8 |
| Salt | 8 | 6 |
Step 2: Create a matrix of the quantities of commodities Mr. X wants to purchase as shown below:
| Commodities | Quantity |
|-------------|----------|
| Sugar | 3 |
| Wheat | 10 |
| Salt | 1 |
Step 3: Calculate the total cost of purchasing the commodities in ARPICO and CARGILLS as shown below:
| Shop | Cost of Sugar | Cost of Wheat | Cost of Salt | Total Cost |
|------------|---------------|---------------|--------------|-------------|
| ARPICO | 60 | 100 | 8 | 168 |
| CARGILLS | 45 | 80 | 6 | 131 |
Step 4: Add the cost of traveling to CARGILLS, which is Rs 25.
Step 5: Calculate the net savings of Mr. X by subtracting the total cost of purchasing the commodities from ARPICO from the total cost of purchasing the commodities from CARGILLS and adding the cost of traveling to CARGILLS.
Net Savings = Total Cost (ARPICO) - Total Cost (CARGILLS) + Cost of Traveling to CARGILLS
Net Savings = 168 - 131 + 25
Net Savings = Rs 62
Therefore, the net savings of Mr. X is Rs 62.
Solution:
To solve this problem using matrix multiplication method, we need to follow the following steps:
Step 1: Create a matrix of the commodities and their prices in ARPICO and CARGILLS as shown below:
| Commodities | ARPICO | CARGILLS |
|-------------|--------|----------|
| Sugar | 20 | 15 |
| Wheat | 10 | 8 |
| Salt | 8 | 6 |
Step 2: Create a matrix of the quantities of commodities Mr. X wants to purchase as shown below:
| Commodities | Quantity |
|-------------|----------|
| Sugar | 3 |
| Wheat | 10 |
| Salt | 1 |
Step 3: Calculate the total cost of purchasing the commodities in ARPICO and CARGILLS as shown below:
| Shop | Cost of Sugar | Cost of Wheat | Cost of Salt | Total Cost |
|------------|---------------|---------------|--------------|-------------|
| ARPICO | 60 | 100 | 8 | 168 |
| CARGILLS | 45 | 80 | 6 | 131 |
Step 4: Add the cost of traveling to CARGILLS, which is Rs 25.
Step 5: Calculate the net savings of Mr. X by subtracting the total cost of purchasing the commodities from ARPICO from the total cost of purchasing the commodities from CARGILLS and adding the cost of traveling to CARGILLS.
Net Savings = Total Cost (ARPICO) - Total Cost (CARGILLS) + Cost of Traveling to CARGILLS
Net Savings = 168 - 131 + 25
Net Savings = Rs 62
Therefore, the net savings of Mr. X is Rs 62.
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Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.?
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Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.?.
Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. X went to market to purchase 3 kg of sugar, 10 kg of wheat and 1kg of salt. In a shop, ARPICO near to Mr. X’s residence, these commodities are priced at Rs 20, Rs10 and Rs 8 per kg whereas in the local market, CARGILLS these commodities are priced at Rs 15, Rs. 8 and Rs 6 per kg respectively. If the cost of traveling to CARGILLS is Rs 25, find the net savings of Mr. X, using matrix multiplication method.?.
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