Murli and Manohar start a business together investing Rs 40000 and Rs 50000 respectively Joshi joins...........

Quant (SSC) Partnership

Murli and Manohar start a business together investing Rs. 40000 and Rs. 50000 respectively. Joshi joins them after a certain number of months investing Rs. 60000 in the venture. Everything goes well till Manohar decides to quit before the exactly same number of months as Joshi'd joined the business after. If at the end of the year, they share their profits in the ratio of 16 : 15 : 18, find the number of months given in the reference.

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Explanation:

As in all the three investments '0000' are common we can go ahead solving the question without taking them into consideration.
Let the required number of months be x. As per the question,
Investment by Murli = 4 × 12 = Rs. 48
Investment by Manohar = 5 × (12 – x) and
Investment by Joshi = 6 × (12 – x)
And the profit ratio = 16 : 15 : 18
Taking the first two terms from the ratio, we get
= 48 /5 x (12 - x) = 16/15
Or (12 – x) = 9 Therefore, x = 3 months