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Question
The ratio of the pocket money saved by a boy and his sister is 5:4. If the brother saves Rs 100 more, how much more should the sister save in order to keep the ratio of their savings unchanged ?
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Solution
Let money saved by the boy and her sister be Sx and 4x and let the sister need to save Rs y more
`(5"x" + 100)/(4"x" + "y") = 5/4`
⇒ 20x + 400 = 20x + 5y
⇒ 5y = 400
⇒ y = 80
The sister needs to save Rs 80 more.
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