Find the value of question mark (?) in the following questions given below
`66(2)/(3)% ` of 54 `+ 33(1)/(3)%` of 210 = ?

Options

A. 104
B. 106
C. 108
D. 110

Answer

To solve the problem, we need to calculate the value of the expression given:

\[ 66\frac{2}{3}\% \text{ of } 54 + 33\frac{1}{3}\% \text{ of } 210 = ? \]

### Step 1: Convert the percentages to fractions
First, we convert the mixed fractions to improper fractions.

- \( 66\frac{2}{3}\% = \frac{200}{3}\% \)
- \( 33\frac{1}{3}\% = \frac{100}{3}\% \)

### Step 2: Convert percentages to decimals
Next, we convert the percentages to decimals by dividing by 100.

- \( \frac{200}{3}\% = \frac{200}{3} \times \frac{1}{100} = \frac{2}{3} \)
- \( \frac{100}{3}\% = \frac{100}{3} \times \frac{1}{100} = \frac{1}{3} \)

### Step 3: Calculate \( 66\frac{2}{3}\% \text{ of } 54 \)
Now we calculate \( \frac{2}{3} \text{ of } 54 \):

\[ \frac{2}{3} \times 54 = \frac{108}{3} = 36 \]

### Step 4: Calculate \( 33\frac{1}{3}\% \text{ of } 210 \)
Next, we calculate \( \frac{1}{3} \text{ of } 210 \):

\[ \frac{1}{3} \times 210 = 70 \]

### Step 5: Add the results
Now we add the two results together:

\[ 36 + 70 = 106 \]

### Conclusion
Thus, the value of the question mark (?) is:

\[ ? = 106 \]

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