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Question
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg?
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Solution
Let the reduced weight be x.
Original weight = 84kg
Thus, we have
84 : x = 7 : 5
⇒ `84/"x" = 7/5`
⇒ 84 x 5 = 7 x x
⇒ x = `(84 xx 5)/7`
⇒ x = 60
Thus, her reduced weight is 60 kg.
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