If the difference between 62 % of number and `3/5`th of that number is 36. what is the number ?

Answer

To solve the problem step by step, we can follow these instructions:

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

### Step 2: Calculate 62% of the number
To find 62% of \( x \), we can express it mathematically:
\[ 62\% \text{ of } x = \frac{62}{100} \times x = 0.62x \]

### Step 3: Calculate \( \frac{3}{5} \) of the number
To find \( \frac{3}{5} \) of \( x \), we can express it mathematically:
\[ \frac{3}{5} \text{ of } x = \frac{3}{5} \times x = 0.6x \]

### Step 4: Set up the equation based on the problem statement
According to the problem, the difference between 62% of the number and \( \frac{3}{5} \) of that number is 36. Therefore, we can set up the equation:
\[ 0.62x - 0.6x = 36 \]

### Step 5: Simplify the equation
Now, simplify the left side of the equation:
\[ (0.62 - 0.6)x = 36 \]
\[ 0.02x = 36 \]

### Step 6: Solve for \( x \)
To find \( x \), divide both sides by 0.02:
\[ x = \frac{36}{0.02} \]
\[ x = 1800 \]

### Conclusion
The number is \( 1800 \).

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