A number increased by 20% gives 42. the number is

Options

A. 35
B. 28
C. 36
D. 30

Answer

To solve the problem step by step, we start with the information given in the question:

**Question:** A number increased by 20% gives 42. What is the number?

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

### Step 2: Write the equation
According to the problem, when we increase \( x \) by 20%, we get 42. This can be expressed mathematically as:
\[ x + 0.2x = 42 \]

### Step 3: Simplify the equation
Combine like terms on the left side:
\[ 1x + 0.2x = 1.2x \]
So, the equation becomes:
\[ 1.2x = 42 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 1.2:
\[ x = \frac{42}{1.2} \]

### Step 5: Calculate the value
Now, perform the division:
\[ x = 35 \]

### Conclusion
The number is \( 35 \).

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