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.
Answer & explanation
Correct answer: option 2
⇒ 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
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Profit: 56 : 42 : 20
28 : 21 : 10
*(Profit ratio = Inv. ratio × time ratio)