Question

If 15% of \(m = 20%\) of \(n\) then \(m : n\) is

• A. \(16 : 17\)
• B. \(17 : 16\)
• C. \(3 : 4\)
• D. \(4 : 3\)

Hint:

Remember to simplify percentages when comparing ratios in problems involving percentages.

Answer 1

The Correct Option is C

We are given that \(15%\) of \(m = 20%\) of \(n\), which means: \[ 0.15 \cdot m = 0.20 \cdot n \] Dividing both sides by 0.05: \[ 3 \cdot m = 4 \cdot n \] This simplifies to: \[ m : n = 3 : 4 \] Thus, the correct answer is \(m : n = 3 : 4\).