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Question
Divide Rs. 720 between Sunil, Sbhil and Akhil. So that Sunil gets 4/5 of Sohil’s and Akhil’s share together and Sohil gets 2/3 of Akhil’s share.
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Solution
Let Akhil's share be ₹ x then
Sohil's share = ₹`(2)/(3)x`
and Sunil's share = ₹`(4)/(5)(2/3x + x)`
= ₹`(4)/(3)x`.
According to the question
`(4)/(3)x + (2)/(3) x + x` = 720
⇒ `(4x + 2x + 3x)/(3)` = 720
⇒ 9x = 720 x 3
⇒ x = `(720 xx 3)/(9)` = 240
∴ Their respective shares are ₹320, ₹160 and ₹240.
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