Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If 60% of (x - y) = 45% (x + y) and y = k% of x, then 21% of k is equal to:

Options:

1

6

7

3

Correct Answer:

3

Explanation:

60% = \(\frac{3}{5}\) , 45% = \(\frac{9}{20}\)

(x – y) ×  \(\frac{3}{5}\) = (x + y) × \(\frac{9}{20}\)

 (x – y) × 4 = (x + y) × 3

4x - 4y = 3x + 3y

\(\frac{x}{y}\) = \(\frac{7}{1}\)

Nw ,  y = k% of x

 1 = k% × 7

 k% = \(\frac{1}{7}\)

k  = \(\frac{100}{7}\) 

21% of k  = \(\frac{21}{100}\)  ×\(\frac{1}{7}\)

 k =3