Raman sold `21` books for `Rs. 375` each. How must he quickly estimate the amount available with him?

Options

A. `Rs. 10000`
B. `Rs. 9000`
C. `Rs. 8000`
D. `Rs. 4000`

Answer

To estimate the amount available with Raman after selling 21 books at Rs. 375 each, we can follow these steps:

### Step 1: Understand the Problem
Raman sold 21 books, and each book was sold for Rs. 375. We need to find the total amount he received from selling all the books.

### Step 2: Calculate the Total Amount
To find the total amount, we multiply the number of books sold by the price per book.

\[ \text{Total Amount} = \text{Number of Books} \times \text{Price per Book} \]

Substituting the values:

\[ \text{Total Amount} = 21 \times 375 \]

### Step 3: Break Down the Multiplication for Estimation
Instead of multiplying directly, we can break down the multiplication to make it easier:

\[ 21 \times 375 = 21 \times (300 + 75) \]

### Step 4: Calculate Each Part
Now calculate each part separately:

1. **Calculate \(21 \times 300\)**:
\[ 21 \times 300 = 6300 \]

2. **Calculate \(21 \times 75\)**:
\[ 21 \times 75 = 21 \times (70 + 5) = (21 \times 70) + (21 \times 5) \]
- Calculate \(21 \times 70\):
\[ 21 \times 70 = 1470 \]
- Calculate \(21 \times 5\):
\[ 21 \times 5 = 105 \]
- Now add both results:
\[ 1470 + 105 = 1575 \]

### Step 5: Add Both Parts Together
Now, add the results from Step 4:

\[ 6300 + 1575 = 7875 \]

### Final Answer
Thus, the total amount available with Raman after selling 21 books is **Rs. 7875**.

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