Whal will come in place of questron mark(?) in the following questions?
36% of 420 - 56% of 350 = ? - 94

Options

A. 48.2
B. 49.2
C. -138.8
D. -1 58.8

Answer

To solve the equation \(36\% \text{ of } 420 - 56\% \text{ of } 350 = ? - 94\), we will follow these steps:

### Step 1: Convert percentages to fractions
First, we convert the percentages to fractions:
- \(36\% = \frac{36}{100}\)
- \(56\% = \frac{56}{100}\)

### Step 2: Calculate \(36\% \text{ of } 420\)
Now, we calculate \(36\% \text{ of } 420\):
\[ 36\% \text{ of } 420 = \frac{36}{100} \times 420 \]
\[ = \frac{36 \times 420}{100} = \frac{15120}{100} = 151.2 \]

### Step 3: Calculate \(56\% \text{ of } 350\)
Next, we calculate \(56\% \text{ of } 350\):
\[ 56\% \text{ of } 350 = \frac{56}{100} \times 350 \]
\[ = \frac{56 \times 350}{100} = \frac{19600}{100} = 196 \]

### Step 4: Substitute values into the equation
Now we substitute these values back into the equation:
\[ 151.2 - 196 = ? - 94 \]

### Step 5: Simplify the left side
Now we simplify the left side:
\[ 151.2 - 196 = -44.8 \]
So we have:
\[ -44.8 = ? - 94 \]

### Step 6: Solve for the question mark (?)
To find the value of the question mark, we add 94 to both sides:
\[ ? = -44.8 + 94 \]
\[ ? = 49.2 \]

### Final Answer:
The value that will come in place of the question mark (?) is **49.2**.

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