Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

Seventy eight is divided into two parts such that four times the first part and five times the second part are in the ratio 14 : 15. The first part is:

Options:

42

36

30

48

Correct Answer:

42

Explanation:

Here,

x + y = 78,

\(\frac{4x}{5y}\) = \(\frac{14}{15}\)

⇒ x : y = 14 : 12 = 7 : 6

⇒(7 + 6) units = 78,

⇒ 13 units = 78

⇒ 1 unit = 6

x = 7 x 6 = 42.