Question

What will come in place of the question mark (?) in the following question ?

50% of 6000 + 20% of ? = 4000

• A. 3000
• B. 6000
• C. 5000
• D. 4500

Hint:

Remember that "percent of" means multiplication by that percentage (converted to a decimal or fraction). Also, be careful with algebraic manipulation to isolate the unknown variable.

Answer 1

The Correct Option is C

Step 1: Calculate 50\% of 6000.
$50\% \text{ of } 6000 = \frac{50}{100} \times 6000 = 0.5 \times 6000 = 3000$ Step 2: Set up the equation with the unknown value.
Let the question mark (?) represent the value $x$. The equation becomes: $3000 + 20\% \text{ of } x = 4000$$3000 + \frac{20}{100} \times x = 4000$$3000 + 0.2x = 4000$ Step 3: Solve for $x$.
Subtract 3000 from both sides of the equation: $0.2x = 4000 - 3000$$0.2x = 1000$ Divide both sides by 0.2:
$x = \frac{1000}{0.2}$$x = \frac{1000}{\frac{2}{10}}$$x = 1000 \times \frac{10}{2}$$x = 1000 \times 5$$x = 5000$ Therefore, the value that will come in place of the question mark is 5000.