Practicing Success
In a partnership A invests \(\frac{1}{6}\)th of the total capital for \(\frac{1}{6}\) of the time, B invests \(\frac{1}{3}\)rd of the total capital for \(\frac{1}{3}\) of the time and C invests the rest of the capital for the whole time. Out of the profit of ₹6900, B's share is: |
₹650 ₹1200 ₹960 ₹1000 |
₹1200 |
For \(\frac{1}{6}\) and \(\frac{1}{3}\): Let the total capital = 6 Unit, and Let the total time of investment = 6 months ATQ, A : B : C Inv. : 6 × \(\frac{1}{6}\) : 6 × \(\frac{1}{3}\) : Rest Time : 6 × \(\frac{1}{6}\) : 6 × \(\frac{1}{3}\) : 6
A : B : C Inv. : 1 : 2 : 3 Time : 1 : 2 : 6 Profit: 1 : 4 : 18 [Profit ratio = Inv. ratio × Time ratio] ⇒ Total Profit = 23R = 6900 ⇒ 1R = 300 ⇒ B's Profit = 4R = 4 × 300 = 1200 |