A, B and C are partners in a business. A whose money has been used for 5 months, claims \(\frac{1}{7}\) of the profit, B whose money has been used for 7 months, claims \(\frac{1}{5}\) of the profit. C had invested Rs. 4600 for 9 months. How much money did A contribute?
Answer & explanation
Correct answer: option 1
For \(\frac{1}{7}\) and \(\frac{1}{5}\)
Let Total profit = 35 unit
Hence,
Profit of A = 35 × \(\frac{1}{7}\) = 5
Profit of B = 35 × \(\frac{1}{5}\) = 7
Profit of C = 35 - (5 + 7) = 23
Now,
A : B : C
Profit : 5 : 7 : 23
Time : 5 : 7 : 9
Inv. : 1 : 1 : \(\frac{23}{9}\) [Inv. ratio = \(\frac{Profit.\;Ratio}{Time\;Ratio}\)]
: 9 : 9 : 23
ATQ,
C invest = 23R = 4600
1R = 200
A's investment = 9R = 9 × 200 = Rs.1800