Ramesh and Suresh enter into a partnership with capitals in the ratio of 10:12. At the end of 8 months, Ramesh withdraws. If they receive profits in the ratio of 10:18. Find how long Suresh’s capital was used.

QuestionRamesh and Suresh enter into a partnership with capitals in the ratio of 10:12. At the end of 8 months, Ramesh withdraws. If they receive profits in the ratio of 10:18. Find how long Suresh’s capital was used.
Typemultiple_choice
Option7 monthsincorrect
Option8 monthsincorrect
Option10 monthsincorrect
Option12 monthscorrect
SolutionLet the capital of Ramesh (C1) =10
And the capital of Suresh is (C2) = 12
Time period spend by Ramesh (T1) = 8 months
Let, time period spend by Suresh (T2) = x months
The ratio of their profit (p1:p2) is 10: 18
Apply formula: (C1 * T1)/ (C2 * T2) = p1/p2
(10 * 8)/ (12*x) = (10/18)
(80/12x) = (5/9)
20/3x = 5/9
180 = 15x
Hence, x=12 months
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