Three friends P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit? I. Total amount invested in the business is ₹ 22000. II. Profit earned at the end of 3 years is $\frac{3}{8}$ of the total investment. III. The average amount of profit earned per year is ₹ 2750.
(a)I or II or III
(b)Either III only, or I and II together
(c)Any two of the three
(d)All I, II and III are required
(e)None of these
Answer
Answer (as printed): B
Explanation
I and II give, profit after 3 years $=₹\left(\frac{3}{8}\times22000\right)=₹8250$. From III also, profit after 3 years $=₹(2750\times3)=₹8250$. $\therefore$ P's share $=₹\left(8250\times\frac{5}{11}\right)=₹3750$. Thus, (either III is redundant) or (I and II are redundant). $\therefore$ Correct answer is (b).
Explanation as extracted from the printed page; notation may be imperfect.