A number decreased by `40%` gives 135. the number is

Options

A. 175
B. 200
C. 250
D. 225

Answer

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

### Step 1: Understand the problem
We need to find a number (let's call it \( x \)) such that when it is decreased by 40%, the result is 135.

### Step 2: Set up the equation
When we decrease \( x \) by 40%, we are left with 60% of \( x \). Therefore, we can express this mathematically as:
\[ 0.6x = 135 \]

### Step 3: Solve for \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 0.6:
\[ x = \frac{135}{0.6} \]

### Step 4: Calculate \( x \)
Now, perform the division:
\[ x = 135 \div 0.6 \]
To make the division easier, we can multiply both the numerator and the denominator by 10:
\[ x = \frac{1350}{6} \]

Now, divide 1350 by 6:
\[ x = 225 \]

### Conclusion
The number is \( 225 \).