Mr. A went to a market to purchase 3 kg of sugar, 10 kg of wheat and 1 kg of salt. In
a shop near to Mr. A’s residence, these commodities are priced at Rs. 20, Rs. 10 and
Rs. 8 per kg whereas in the local market these commodities are priced at Rs. 15, Rs. 8
and Rs. 6 per kg respectively. If cost of travelling to local market is Rs. 25, find the
net savings of Mr. A using matrix multiplication.
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Step-by-step explanation:
Given Mr A went to a market to purchase 3 kg of sugar, 10 kg of wheat and 1 kg of salt. Ina shop near to Mr. A’s residence, these commodities are priced at Rs. 20, Rs. 10 and Rs. 8 per kg whereas in the local market these commodities are priced at Rs. 15, Rs. 8 and Rs. 6 per kg respectively. If cost of travelling to local market is Rs. 25, find the net savings of Mr. A using matrix multiplication.
- So let the shop and local market be represented by S and L
- S = 20
- 10
- 8
- Also L = 15
- 8
- 6
- Let M be the amount needed for Mr A, then
- M = 3
- 10
- 1
- Now the total cost he pays will be M’S
- The difference between total price in 2 shops will be
- M’S – M’L = M’(S – L)
- = (3 10 1) ( 20 (15
- 10 - 8
- 8) 2)
- = (3 10 1) ( 5
- 2
- 2)
- = 15 + 20 + 2
- = 37
- Now the cost of travelling to local market costs Rs 25, net savings will be
- = 37 – 25
- = 12
Reference link will be
https://brainly.in/question/104544
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