Practicing Success
33.33% of P's income is equal to 66.66% of Q's income, and 25% of Q's income is equal to 70% of R's income. They invested for 2 years, 3 years and 4 years respectively. Find the ratio of their profit at the end. |
28 : 21 : 20 28 : 21 : 10 21 : 28 : 10 30 : 28 : 10 |
28 : 21 : 10 |
⇒ 33.33% P = 66.66% Q ⇒ P = 2 Q ⇒ P : Q = 2 : 1 Similarly ⇒ 25 % Q = 70% R ⇒ 5Q = 14R ⇒ Q : R = 14 : 5 Now, ⇒ P : Q : R 2 : 1 14 : 5 Inv. : 28 : 14 : 5 Time: 2 : 3 : 4 --------------------------------- Profit: 56 : 42 : 20 28 : 21 : 10 *(Profit ratio = Inv. ratio × time ratio) |