Chinmay purchased 10kg rice for Rs 150, 15kg 40g sugar for Rs 300.80 and 5 kg 60g salt for Rs 45.54. 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 find out how much money Chinmay got back after his purchases, we will follow these steps:

### Step 1: Calculate the total cost of the items purchased.
Chinmay purchased:
- Rice: Rs 150
- Sugar: Rs 300.80
- Salt: Rs 45.54

Now, let's add these amounts together.

**Calculation:**
\[ \text{Total Cost} = \text{Cost of Rice} + \text{Cost of Sugar} + \text{Cost of Salt} \]
\[ \text{Total Cost} = 150 + 300.80 + 45.54 \]

### Step 2: Align the numbers for addition.
We can align the numbers in a column format to add them easily:

```
150.00
+ 300.80
+ 45.54
__________
```

### Step 3: Perform the addition.
Now, we add the numbers column by column:

- Start from the rightmost column (hundredths place):
- 0 + 0 + 4 = 4
- Next column (tenths place):
- 0 + 8 + 5 = 13 (write down 3 and carry over 1)
- Next column (units place):
- 5 + 0 + 5 + 1 (carry) = 11 (write down 1 and carry over 1)
- Next column (tens place):
- 1 + 3 + 0 + 1 (carry) = 5
- Finally, the hundreds place:
- 1 + 0 + 0 = 1

So, the total cost is:
\[ \text{Total Cost} = 496.34 \]

### Step 4: Subtract the total cost from the amount given to the shopkeeper.
Chinmay gave Rs 1000 to the shopkeeper. Now, we need to find out how much money he got back.

**Calculation:**
\[ \text{Money Returned} = \text{Amount Given} - \text{Total Cost} \]
\[ \text{Money Returned} = 1000 - 496.34 \]

### Step 5: Align the numbers for subtraction.
Align the numbers as follows:

```
1000.00
- 496.34
___________
```

### Step 6: Perform the subtraction.
Now, we subtract the numbers column by column:

- Start from the rightmost column (hundredths place):
- 0 - 4 (we can't subtract, so we borrow from the tenths place)
- 10 - 4 = 6 (after borrowing, the tenths place becomes 9)
- Next column (tenths place):
- 9 - 3 = 6
- Next column (units place):
- 0 - 6 (we can't subtract, so we borrow from the tens place)
- 10 - 6 = 4 (after borrowing, the tens place becomes 9)
- Next column (tens place):
- 9 - 9 = 0
- Finally, the hundreds place:
- 0 - 4 (we can't subtract, so we borrow from the thousands place)
- 10 - 4 = 6 (after borrowing, the thousands place becomes 0)

So, the money returned is:
\[ \text{Money Returned} = 503.66 \]

### Final Answer:
Chinmay received Rs 503.66 back from the shopkeeper.

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