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?
Answer & explanation
Correct answer: option 1
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%