`88%` of `370+24%` of `210-?=118`

Options

A. A)256
B. B)258
C. C)268
D. D)358

Answer

To solve the equation \( 88\% \) of \( 370 + 24\% \) of \( 210 - ? = 118 \), we will follow these steps:

### Step 1: Convert percentages to fractions
Convert \( 88\% \) and \( 24\% \) into their fractional forms:
- \( 88\% = \frac{88}{100} \)
- \( 24\% = \frac{24}{100} \)

### Step 2: Calculate \( 88\% \) of \( 370 \)
Now, calculate \( 88\% \) of \( 370 \):
\[ 88\% \text{ of } 370 = \frac{88}{100} \times 370 = \frac{88 \times 370}{100} = \frac{32560}{100} = 325.6 \]

### Step 3: Calculate \( 24\% \) of \( 210 \)
Next, calculate \( 24\% \) of \( 210 \):
\[ 24\% \text{ of } 210 = \frac{24}{100} \times 210 = \frac{24 \times 210}{100} = \frac{5040}{100} = 50.4 \]

### Step 4: Substitute back into the equation
Now substitute these values back into the equation:
\[ 325.6 + 50.4 - ? = 118 \]

### Step 5: Combine the values
Combine \( 325.6 \) and \( 50.4 \):
\[ 325.6 + 50.4 = 376 \]
So, the equation now looks like:
\[ 376 - ? = 118 \]

### Step 6: Isolate the variable
To find \( ? \), isolate it:
\[ ? = 376 - 118 \]

### Step 7: Calculate the value of \( ? \)
Now perform the subtraction:
\[ ? = 258 \]

Thus, the value of \( ? \) is \( 258 \).

### Final Answer:
The answer is \( 258 \).

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