A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg ?

Let woman's reduced weight become x kg.

Since, weight is reduced in the ratio 7 : 5.

$\therefore \dfrac{84}{x} = \dfrac{7}{5} \\[1em] \Rightarrow x = \dfrac{84 \times 5}{7} \\[1em] \Rightarrow x = 60.$

Hence, reduced weight = 60 kg.