A, B, and C become partners in a business. A contributes \(\frac{1}{3}\)rd of the capitals for \(\frac{1}{4}\)th of the time. B contributes \(\frac{1}{5}\)th of the capital for \(\frac{1}{6}\)th of the time and C contribute rest of the capital for the whole time. If the profit is 1820, then the share of A in the profit is?
Answer & explanation
Correct answer: option 2
Let the total capital = 15 units
Investments:
A's = 15 × \(\frac{1}{3}\) = 5
B's = 15 × \(\frac{1}{5}\) = 3
C's = 15 - (5 + 3) = 7
Let the total time = 12 units
Time:
A's = 12 × \(\frac{1}{4}\) = 3
B's = 12 × \(\frac{1}{6}\) = 2
C's = 12
A : B : C
Inv. 5 : 3 : 7
Time 3 : 2 : 12
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Profit 15 : 6 : 84
5 : 2 : 28
Now,
Profit = (5 + 2 + 28)R = 1820
1R = 52
A's share = 5R = 5 × 52 = 260 Rs.