X started a software business with Rs. 85, 000 and is joined afterwards by Y with Rs. 42,500. If the profits at the end of the year are divided in the ratio 3 : 1 then for how much long does Y was the partner?

6 months

8 months

9 months

none of the above

Let Y joined for P months then we can write equation as - ( 85,000 * 12 ) : ( 42,500 * P ) = 3 : 1 => (85000x12)/42500 x p=3/1 => p=8months

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