A number increased by 37.5% gives 99, the number is :

Options

A. 140
B. 61.5
C. 72
D. 48

Answer

To find the number that, when increased by 37.5%, gives 99, we can follow these steps:

### Step 1: Understand the Problem
Let the unknown number be represented as \( x \). According to the problem, when this number is increased by 37.5%, the result is 99.

### Step 2: Set Up the Equation
The equation can be set up as follows:
\[ x + 0.375x = 99 \]
This means that the number \( x \) plus 37.5% of \( x \) equals 99.

### Step 3: Combine Like Terms
Combine the terms on the left side of the equation:
\[ 1x + 0.375x = 1.375x \]
So, we can rewrite the equation as:
\[ 1.375x = 99 \]

### Step 4: Solve for \( x \)
To isolate \( x \), divide both sides of the equation by 1.375:
\[ x = \frac{99}{1.375} \]

### Step 5: Calculate the Value
Now, perform the division:
\[ x = 72 \]

### Conclusion
The number is \( 72 \).

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