To solve this problem, let's break it down into clear, logical steps.
### Step 1: Determine the original number
We know that 40% of a certain number is 240. Let's denote this unknown number as [tex]\( x \)[/tex].
Mathematically, we can express the given condition as:
[tex]\[ 0.40 \times x = 240 \][/tex]
To find [tex]\( x \)[/tex], we need to solve for it:
[tex]\[ x = \frac{240}{0.40} \][/tex]
### Step 2: Calculate the original number
We can now compute:
[tex]\[ x = \frac{240}{0.40} = 600 \][/tex]
So, the original number is [tex]\( 600 \)[/tex].
### Step 3: Find 140% of the original number
Next, we need to find 140% of this number. Mathematically, this can be written as:
[tex]\[ 1.40 \times 600 \][/tex]
### Step 4: Calculate 140% of the original number
Let's compute this:
[tex]\[ 1.40 \times 600 = 840 \][/tex]
### Conclusion
Therefore, 140% of the number is [tex]\( 840 \)[/tex].
