A, B and C are partners in a business. A whose money has been used for 2 months, claims \(\frac{1}{8}\) of the profit, B whose money has been used for 3 months, claims \(\frac{1}{4}\) of the profit. C had invested Rs. 2630 for 5 months. How much money did A contribute?
Answer & explanation
Correct answer: option 3
For \(\frac{1}{8}\) and \(\frac{1}{4}\)
Let Total profit = 8 unit
Hence,
Profit of A = 8 × \(\frac{1}{8}\) = 1
Profit of B = 8 × \(\frac{1}{4}\) = 2
Profit of C = 8 - (1 + 2) = 5
Now,
A : B : C
Profit : 1 : 2 : 5
Time : 2 : 3 : 5
Inv. : \(\frac{1}{2}\) : \(\frac{2}{3}\) : 1 [Inv. ratio = \(\frac{Profit.\;Ratio}{Time\;Ratio}\)]
: 3 : 4 : 6
ATQ,
C invest = 6R = 2630
1R = \(\frac{2630}{6}\)
A's investment = \(\frac{2630}{6}\) × 3 = Rs.1315