Chinmay purchased 10 kg rice at the rate of Rs. 5 per kg, 15 kg 40 g sugar at the rate of Rs. 20 per kg and 5 kg 60 g salt at the rate of Rs. 9 per kg. He gave Rs. 1000 to the shopkeeper. How much money did he get back?

Options

A. Rs. 234.94
B. Rs. 503.66
C. Rs. 496.34
D. Rs. 743.99

Answer

To solve the problem step by step, let's break it down into manageable parts:

### Step 1: Calculate the cost of rice
- **Quantity of rice**: 10 kg
- **Price per kg of rice**: Rs. 5

**Cost of rice** = Quantity × Price per kg
= 10 kg × Rs. 5 = Rs. 50

### Step 2: Convert the quantity of sugar from kg and grams to kg
- **Quantity of sugar**: 15 kg 40 g
- **Convert grams to kg**: 40 g = 40/1000 kg = 0.040 kg

**Total quantity of sugar** = 15 kg + 0.040 kg = 15.040 kg

### Step 3: Calculate the cost of sugar
- **Price per kg of sugar**: Rs. 20

**Cost of sugar** = Quantity × Price per kg
= 15.040 kg × Rs. 20 = Rs. 300.80

### Step 4: Convert the quantity of salt from kg and grams to kg
- **Quantity of salt**: 5 kg 60 g
- **Convert grams to kg**: 60 g = 60/1000 kg = 0.060 kg

**Total quantity of salt** = 5 kg + 0.060 kg = 5.060 kg

### Step 5: Calculate the cost of salt
- **Price per kg of salt**: Rs. 9

**Cost of salt** = Quantity × Price per kg
= 5.060 kg × Rs. 9 = Rs. 45.54

### Step 6: Calculate the total cost of all items
**Total cost** = Cost of rice + Cost of sugar + Cost of salt
= Rs. 50 + Rs. 300.80 + Rs. 45.54
= Rs. 396.34

### Step 7: Calculate the amount of money Chinmay gets back
- **Total amount given to the shopkeeper**: Rs. 1000

**Amount returned** = Total amount given - Total cost
= Rs. 1000 - Rs. 396.34
= Rs. 603.66

### Final Answer
Chinmay gets back Rs. 603.66.

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