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? |
130 260 292 304 |
260 |
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 --------------------------------------------- Profit 15 : 6 : 84 5 : 2 : 28 Now, Profit = (5 + 2 + 28)R = 1820 1R = 52 A's share = 5R = 5 × 52 = 260 Rs. |