Question : Rani's weight is 25% that of Meena's and 40% that of Tara's. What percentage of Tara's weight is equal to Meena's weight?
Option 1: 160%
Option 2: 140%
Option 3: 120%
Option 4: 100%
Correct Answer: 160%
Solution :
25% = $\frac{1}{4}$
So, Rani : Meena = 1 : 4 = 2 : 8
Now, 40% = $\frac{2}{5}$
So, Rani : Tara = 2 : 5
Now, the ratio of Rani : Meena : Tara = 2 : 8 : 5
Let the weight of Rani, Meena, and Tara be $2x,8x,$ and $5x$ respectively.
Let $r$% of Tara's weight equal to Meena's weight.
So, $r$% of $5x$ = $8x$
⇒ $r=\frac{8x}{5x}×100$
$\therefore r=$ 160%
Hence, the correct answer is 160%.
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