Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The weight of Rani, 25% of Mina's weight and 40% of Tara's weight are equal. What percent of Tara's weight is equal to Mina's weight?

Options:

160%

140%

120%

100%

Correct Answer:

160%

Explanation:

Rani's weight = R

Mina's weight = M

Tara's weight = T

ATQ,

 R = 25% × M = 40% × T

1R = \(\frac{1}{4}\) M = \(\frac{2}{4}\) T

R : M : T = 1  :   4    :   \(\frac{5}{2}\)  = 2 : 8 : 5

Now,

Required percentage ⇒ T × x% = M ⇒ 5 × x% = 8 ⇒ x = \(\frac{8}{5}\) × 100 = 160

x = 160%