What value should come in place of question mark (?) in the following questions?
85% of ? = 3060

Options

A. 3300
B. 3600
C. 4200
D. 4800

Answer

To find the value that should replace the question mark (?) in the equation \( 85\% \text{ of } ? = 3060 \), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ 85\% \text{ of } ? = 3060 \]
This can be rewritten in mathematical terms as:
\[ \frac{85}{100} \times ? = 3060 \]

### Step 2: Isolate the question mark (?)
To isolate the question mark (?), we can multiply both sides of the equation by the reciprocal of \(\frac{85}{100}\), which is \(\frac{100}{85}\):
\[ ? = 3060 \times \frac{100}{85} \]

### Step 3: Simplify \(\frac{100}{85}\)
We can simplify \(\frac{100}{85}\) to make calculations easier. Dividing both the numerator and the denominator by 5 gives us:
\[ \frac{100}{85} = \frac{20}{17} \]
So now our equation looks like:
\[ ? = 3060 \times \frac{20}{17} \]

### Step 4: Calculate the value
Now we can calculate the value:
\[ ? = 3060 \times \frac{20}{17} \]
To perform this multiplication, we first calculate \(3060 \div 17\):
\[ 3060 \div 17 = 180 \]
Now we multiply this result by 20:
\[ ? = 180 \times 20 = 3600 \]

### Final Answer
Thus, the value that should replace the question mark (?) is:
\[ ? = 3600 \]

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