Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If 15% of (2x + 3y) = 25% of (4x - 3y), then what is x : y?

Options:

7 : 12

3 : 7

12 : 7

7 : 3

Correct Answer:

12 : 7

Explanation:

15% of (2x + 3y) = 25% of (4x - 3y)

 \(\frac{15}{100}\) × (2x + 3y) =  \(\frac{25}{100}\) × (4x - 3y)

 \(\frac{3}{20}\) × (2x + 3y) =  \(\frac{1}{4}\) × (4x - 3y)

\(\frac{3}{5}\) × (2x + 3y) =  (4x - 3y)

6x + 9y = 20x - 15y

14x = 24y

x : y = 12 : 7

The correct answer is Option (3) → 12 : 7