Question

If one-fourth of a number exceeds 20% of the number by 10, then the number is

• A. 150
• B. 180
• C. 200
• D. 250

Hint:

Convert percentages into fractions before forming equations.

Answer 1

The Correct Option is C

Concept: Form an equation using percentages and fractions. Explanation: Let number = $x$ \[ \frac{x}{4} = 20\% \text{ of } x + 10 \] \[ \frac{x}{4} = \frac{20x}{100} + 10 \] \[ \frac{x}{4} = \frac{x}{5} + 10 \] Multiply by 20: \[ 5x = 4x + 200 \] \[ x = 200 \]