A, B and C are partners in a business. A whose money has been used for 4 months, claims \(\frac{1}{8}\) of the profit, B whose money has been used for 6 months, claims \(\frac{1}{3}\) of the profit. C had invested Rs. 1560 for 8 months. How much money did A and B contribute?
Answer & explanation
Correct answer: option 3
For \(\frac{1}{8}\) and \(\frac{1}{3}\)
Let Total profit = 24 unit
Hence,
Profit of A = 24 × \(\frac{1}{8}\) = 3
Profit of B = 24 × \(\frac{1}{3}\) = 8
Profit of C = 24 - (3 + 8) = 13
Now,
A : B : C
Profit : 3 : 8 : 13
Time : 2 : 3 : 4 ⇐ (4 : 6 : 8)
Inv. : \(\frac{3}{2}\) : \(\frac{8}{3}\) : \(\frac{13}{4}\) [Inv. ratio = \(\frac{Profit.\;Ratio}{Time\;Ratio}\)]
: 18 : 32 : 39
ATQ,
C invest = 39R = 1560
1R = 40
A's investment = 18R = 18 × 40 = Rs.720
B's investment = 32R = 32 × 40 = Rs.1280