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In a partnership business the ratio of c...

In a partnership business the ratio of capitals of Sujoy and Palash is `4:5` and the ratio of their profits is `2:3`. If Sujoy has invested for 10 months then for how many months did Palash invest his capital?

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Let the capitals of Sujoy and Palash be Rs. `4x` and `Rs. 5x`
Also let Palash invested for `y` months.
As per question `(4x xx 10):(5x xxy)=2:3`
`implies(40x)/(5xy)=2/3implies2y=24impliesy=12`.
Hence Palash invested for 12 months or 1 year.
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