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Question
The ratio of the pocket money saved by Lokesh and his sister is 5 : 6. If the sister saves Rs 30 more, how much more the brother should save in order to keep the ratio of their savings unchanged?
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Solution
Let the savings of Lokesh and his sister are 5x and 6x.
and the Lokesh should save Rs y more Now, according to the problem,
⇒ `(5x + y)/(6x + 30) = (5)/(6)`
⇒ 30x + 6y = 30x + 150
⇒ 30x + 6y – 30x = 150
⇒ 6y = 150
∴ y = `(150)/(6)` = 25
Hence, Lokesh should save ₹25 more.
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