The reading style of Sunny is quite unusual. He reads one page on the first day, 2 pages on the second day, 3 pages on the thrid day etc. How many pages Sunny can read in 24 days?

Options

A. 242
B. 300
C. 276
D. none of these

Answer

To find out how many pages Sunny can read in 24 days, we need to calculate the total number of pages he reads each day and then sum them up over the 24 days.

### Step-by-Step Solution:

1. **Identify the pattern of reading**:
Sunny reads pages in an increasing manner:
- Day 1: 1 page
- Day 2: 2 pages
- Day 3: 3 pages
- ...
- Day n: n pages

2. **Determine the total pages read in 24 days**:
The total number of pages read in 24 days can be calculated using the formula for the sum of the first n natural numbers:
\[ S_n = \frac{n(n + 1)}{2} \]
where \( n \) is the number of days.

3. **Substitute n with 24**:
Here, \( n = 24 \):
\[ S_{24} = \frac{24(24 + 1)}{2} \]

4. **Calculate the value**:
\[ S_{24} = \frac{24 \times 25}{2} \]
\[ S_{24} = \frac{600}{2} = 300 \]

5. **Conclusion**:
Therefore, Sunny can read a total of **300 pages** in 24 days.