Smplify:- 38% of ? = 3596 - 632

Options

A. a. 7800
B. b. 7900
C. c. 8900
D. d. 8700

Answer

To simplify the expression \( 38\% \) of \( ? = 3596 - 632 \), we will follow these steps:

### Step 1: Calculate the right-hand side
First, we need to perform the subtraction on the right side of the equation.

\[ 3596 - 632 \]

Calculating this gives:

\[ 3596 - 632 = 2964 \]

### Step 2: Set up the equation
Now we have:

\[ 38\% \text{ of } ? = 2964 \]

We can express \( 38\% \) as a fraction:

\[ 38\% = \frac{38}{100} \]

So the equation becomes:

\[ \frac{38}{100} \times ? = 2964 \]

### Step 3: Isolate the question mark
To isolate \( ? \), we can multiply both sides of the equation by the reciprocal of \( \frac{38}{100} \), which is \( \frac{100}{38} \):

\[ ? = 2964 \times \frac{100}{38} \]

### Step 4: Simplify the right-hand side
Now we need to calculate \( 2964 \times \frac{100}{38} \). First, let's simplify \( \frac{100}{38} \):

\[ \frac{100}{38} = \frac{50}{19} \]

Now we can rewrite the equation:

\[ ? = 2964 \times \frac{50}{19} \]

### Step 5: Perform the multiplication and division
Now, we will divide \( 2964 \) by \( 19 \):

\[ 2964 \div 19 = 156 \]

Now, multiply this result by \( 50 \):

\[ ? = 156 \times 50 = 7800 \]

### Final Answer
Thus, the value of \( ? \) is:

\[ ? = 7800 \]

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