30% of a number is 190.8. What will be 175% of that number?

Options

A. a. 1113
B. b. 1115
C. c. 1502
D. d. 1002

Answer

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step 1: Define the variable
Let the unknown number be \( X \).

### Step 2: Set up the equation
According to the problem, 30% of \( X \) is equal to 190.8. We can express this mathematically as:
\[ 0.30 \times X = 190.8 \]

### Step 3: Solve for \( X \)
To find \( X \), we can rearrange the equation:
\[ X = \frac{190.8}{0.30} \]
Calculating the right side, we first convert 30% to a fraction:
\[ X = \frac{190.8}{\frac{30}{100}} = 190.8 \times \frac{100}{30} \]
Now, simplifying:
\[ X = 190.8 \times \frac{10}{3} = 1908 \div 3 \]
Calculating \( 1908 \div 3 \):
\[ 1908 \div 3 = 636 \]
Thus, we find:
\[ X = 636 \]

### Step 4: Calculate 175% of \( X \)
Now, we need to find 175% of \( X \):
\[ 175\% \text{ of } X = 1.75 \times X = 1.75 \times 636 \]
Calculating this:
\[ 1.75 \times 636 = \frac{175}{100} \times 636 = \frac{175 \times 636}{100} \]
Now, simplifying:
\[ = \frac{111300}{100} = 1113 \]

### Final Answer
Thus, 175% of the number is:
\[ \boxed{1113} \]

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