When 35 is subtracted from a number , it reduces to its 80% . What is `4/5 th` of that number ?

Options

A. 70
B. 90
C. 120
D. 140

Answer

To solve the problem, we will follow these steps:

### Step 1: Define the variable
Let the unknown number be represented by \( x \).

### Step 2: Set up the equation
According to the problem, when 35 is subtracted from the number \( x \), it reduces to 80% of that number. This can be expressed as:
\[ x - 35 = 0.8x \]

### Step 3: Rearrange the equation
Now, we will rearrange the equation to isolate \( x \):
\[ x - 0.8x = 35 \]
This simplifies to:
\[ 0.2x = 35 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 0.2:
\[ x = \frac{35}{0.2} \]
Calculating this gives:
\[ x = 175 \]

### Step 5: Find \( \frac{4}{5} \) of the number
Now that we have the value of \( x \), we need to find \( \frac{4}{5} \) of this number:
\[ \frac{4}{5} \times 175 \]
Calculating this step-by-step:
1. First, divide 175 by 5:
\[ 175 \div 5 = 35 \]
2. Then, multiply the result by 4:
\[ 35 \times 4 = 140 \]

### Final Answer
Thus, \( \frac{4}{5} \) of the number is \( 140 \).

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