Simplify:- 29.89% of 119.76 + ?% of 59.99 = 59.87

Options

A. a. 35
B. b. 40
C. c. 45
D. d. 55

Answer

To solve the equation \(29.89\% \text{ of } 119.76 + ?\% \text{ of } 59.99 = 59.87\), we will follow these steps:

### Step 1: Calculate \(29.89\%\) of \(119.76\)
To find \(29.89\%\) of \(119.76\), we convert the percentage to a decimal and multiply:

\[ 29.89\% = \frac{29.89}{100} = 0.2989 \]

Now, calculate:

\[ 0.2989 \times 119.76 = 35.749224 \]

### Step 2: Substitute into the equation
Now substitute this value back into the equation:

\[ 35.749224 + ?\% \text{ of } 59.99 = 59.87 \]

### Step 3: Isolate the unknown percentage
To isolate the unknown percentage, we will subtract \(35.749224\) from both sides:

\[ ?\% \text{ of } 59.99 = 59.87 - 35.749224 \]

Calculating the right side:

\[ 59.87 - 35.749224 = 24.120776 \]

### Step 4: Express the unknown percentage
Now we express the unknown percentage as:

\[ ? \% \text{ of } 59.99 = 24.120776 \]

Converting the percentage to a decimal:

\[ ? = \frac{24.120776}{59.99} \]

### Step 5: Calculate the unknown percentage
Now we can calculate:

\[ ? = \frac{24.120776}{59.99} \approx 0.402 \]

To convert this to a percentage, multiply by \(100\):

\[ ? \approx 0.402 \times 100 \approx 40.2 \]

### Step 6: Round to the nearest whole number
Since percentages are typically rounded to whole numbers, we round \(40.2\) to \(40\).

### Final Answer
Thus, the value of \(?\) is:

\[ \boxed{40} \]

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