Direction (41–52): What will come in the place of (?) mark in following question?

$30\%\text{of}?=38+\frac{147}{3}$

To find the value that replaces the question mark (?), we can set up the given mathematical expression as an equation and solve it step-by-step.

Let the unknown value be represented by $x$.

The given equation is:

$30\%\text{of}x=38+\frac{147}{3}$

Step 1: Simplify the fraction on the right-hand side of the equation by dividing 147 by 3.

$\frac{147}{3}=49$

Step 2: Substitute this value back into the equation and add the terms on the right-hand side.

$30\%\text{of}x=38+49$

Adding the numbers gives:

$30\%\text{of}x=87$

Step 3: Convert the percentage to a fraction or decimal to solve for $x$.

$\frac{30}{100}\times x=87$

This simplifies to:

$0.3\times x=87$

Step 4: Isolate $x$ by dividing both sides of the equation by 0.3.

$x=\frac{87}{0.3}$

To simplify the division, we can multiply the numerator and the denominator by 10 to eliminate the decimal:

$x=\frac{870}{3}$

Now, perform the division:

$x=290$

Therefore, the value that should come in place of the question mark is 290.