Answer :
Certainly! Let's break this problem down step-by-step.
### (i) Finding the total cost of the two items
1. Cost of rice:
- Sunita buys 5 kg of rice.
- The price per kg of rice is Rs 90.
- The total cost for the rice can be expressed as:
[tex]\[ \text{Total cost of rice} = \text{Weight of rice} \times \text{Cost per kg of rice} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Total cost of rice} = 5 \, \text{kg} \times 90 \, \text{Rs/kg} = 450 \, \text{Rs} \][/tex]
2. Cost of sugar:
- Sunita buys 2 kg of sugar.
- The price per kg of sugar is Rs 8.
- The total cost for the sugar can be expressed as:
[tex]\[ \text{Total cost of sugar} = \text{Weight of sugar} \times \text{Cost per kg of sugar} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Total cost of sugar} = 2 \, \text{kg} \times 8 \, \text{Rs/kg} = 16 \, \text{Rs} \][/tex]
3. Total cost of both items:
- The total cost is the sum of the cost of the rice and the cost of the sugar.
[tex]\[ \text{Total cost} = \text{Total cost of rice} + \text{Total cost of sugar} \][/tex]
Substituting in the calculated costs:
[tex]\[ \text{Total cost} = 450 \, \text{Rs} + 16 \, \text{Rs} = 466 \, \text{Rs} \][/tex]
### (ii) Calculating the money returned to Sunita
1. Money given:
- Sunita gives the shopkeeper a 1000 rupees note.
2. Money returned:
- The money returned to Sunita is the difference between the money given and the total cost of the items.
[tex]\[ \text{Money returned} = \text{Money given} - \text{Total cost} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Money returned} = 1000 \, \text{Rs} - 466 \, \text{Rs} = 534 \, \text{Rs} \][/tex]
### Summary
- Total cost of the items: 466 Rs
- Money returned to Sunita: 534 Rs
By following these steps sequentially, we can determine both the total cost of the items and the amount of money the shopkeeper will return to Sunita.
### (i) Finding the total cost of the two items
1. Cost of rice:
- Sunita buys 5 kg of rice.
- The price per kg of rice is Rs 90.
- The total cost for the rice can be expressed as:
[tex]\[ \text{Total cost of rice} = \text{Weight of rice} \times \text{Cost per kg of rice} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Total cost of rice} = 5 \, \text{kg} \times 90 \, \text{Rs/kg} = 450 \, \text{Rs} \][/tex]
2. Cost of sugar:
- Sunita buys 2 kg of sugar.
- The price per kg of sugar is Rs 8.
- The total cost for the sugar can be expressed as:
[tex]\[ \text{Total cost of sugar} = \text{Weight of sugar} \times \text{Cost per kg of sugar} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Total cost of sugar} = 2 \, \text{kg} \times 8 \, \text{Rs/kg} = 16 \, \text{Rs} \][/tex]
3. Total cost of both items:
- The total cost is the sum of the cost of the rice and the cost of the sugar.
[tex]\[ \text{Total cost} = \text{Total cost of rice} + \text{Total cost of sugar} \][/tex]
Substituting in the calculated costs:
[tex]\[ \text{Total cost} = 450 \, \text{Rs} + 16 \, \text{Rs} = 466 \, \text{Rs} \][/tex]
### (ii) Calculating the money returned to Sunita
1. Money given:
- Sunita gives the shopkeeper a 1000 rupees note.
2. Money returned:
- The money returned to Sunita is the difference between the money given and the total cost of the items.
[tex]\[ \text{Money returned} = \text{Money given} - \text{Total cost} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Money returned} = 1000 \, \text{Rs} - 466 \, \text{Rs} = 534 \, \text{Rs} \][/tex]
### Summary
- Total cost of the items: 466 Rs
- Money returned to Sunita: 534 Rs
By following these steps sequentially, we can determine both the total cost of the items and the amount of money the shopkeeper will return to Sunita.
