35% of 121 + 85% of 230.25= ?

Options

A. 225
B. 230
C. 240
D. 245

Answer

To solve the problem \( 35\% \text{ of } 121 + 85\% \text{ of } 230.25 \), we can break it down into two parts and approximate the values for easier calculation.

### Step 1: Calculate \( 35\% \text{ of } 121 \)

1. Convert the percentage to a fraction:
\[ 35\% = \frac{35}{100} \]
2. Multiply by 121:
\[ 35\% \text{ of } 121 = \frac{35}{100} \times 121 \]
3. To simplify, we can approximate 121 to 120 for easier calculation:
\[ \frac{35}{100} \times 120 = \frac{35 \times 120}{100} \]
4. Calculate:
\[ 35 \times 120 = 4200 \]
5. Divide by 100:
\[ \frac{4200}{100} = 42 \]

### Step 2: Calculate \( 85\% \text{ of } 230.25 \)

1. Convert the percentage to a fraction:
\[ 85\% = \frac{85}{100} \]
2. Multiply by 230.25:
\[ 85\% \text{ of } 230.25 = \frac{85}{100} \times 230.25 \]
3. For approximation, we can round 230.25 to 230:
\[ \frac{85}{100} \times 230 = \frac{85 \times 230}{100} \]
4. Calculate:
\[ 85 \times 230 = 19550 \]
5. Divide by 100:
\[ \frac{19550}{100} = 195.5 \]

### Step 3: Add the two results together

1. Now, we add the results from Step 1 and Step 2:
\[ 42 + 195.5 = 237.5 \]

### Step 4: Round the final result

1. Since we are looking for an approximate value, we can round 237.5 to the nearest whole number:
\[ 237.5 \approx 238 \]

### Conclusion

Thus, the approximate value of \( 35\% \text{ of } 121 + 85\% \text{ of } 230.25 \) is \( 238 \).