What should come in place of the question mark (?) in the following questions ?
62% of 350 - ?% of 140 = 154

Options

A. 55
B. 25
C. 47
D. None of these

Answer

To solve the equation \( 62\% \text{ of } 350 - ?\% \text{ of } 140 = 154 \), we will follow these steps:

### Step 1: Calculate \( 62\% \text{ of } 350 \)
To find \( 62\% \text{ of } 350 \):
\[ 62\% \text{ of } 350 = \frac{62}{100} \times 350 \]
Calculating this gives:
\[ = \frac{62 \times 350}{100} = \frac{21700}{100} = 217 \]

### Step 2: Rewrite the equation
Now, we can rewrite the original equation substituting \( 62\% \text{ of } 350 \):
\[ 217 - ?\% \text{ of } 140 = 154 \]

### Step 3: Isolate the term with the question mark
Next, we will isolate the term with the question mark:
\[ ? \% \text{ of } 140 = 217 - 154 \]
Calculating the right side:
\[ ? \% \text{ of } 140 = 63 \]

### Step 4: Express \( ? \% \text{ of } 140 \) in terms of the question mark
Now, we express \( ? \% \text{ of } 140 \) in terms of the question mark:
\[ \frac{?}{100} \times 140 = 63 \]

### Step 5: Solve for the question mark
To find the value of the question mark, we multiply both sides by 100:
\[ ? \times 140 = 6300 \]
Now, divide by 140:
\[ ? = \frac{6300}{140} \]
Calculating this gives:
\[ ? = 45 \]

### Final Answer
The value that should come in place of the question mark is \( 45 \).

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