Question

Three friends, P, Q and R started a partner ship 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 in Rs.$22000$
II. Profit earned at the end of $3$ years is $\frac{3}{8}$ of the total investment.
Ill. Average amount of profit earned per year is Rs. $2750$

• A. I or Il or IlI
• B. Either III only, or I and II together
• C. Any two of the three
• D. All I, II and III are required

Answer 1

Answer: (B)

Either III only, or I and II together

Statement 1 and 2 give, profit after $3$ years $(\frac{3}{8}\times 22000)$ = Rs $8250$

so P's share = $\frac{5}{11}\times 8250$ = Rs $3750$
Statement 3 also gives,

profit after 3 years $=$ Rs. ($2750\times 3$) $=$ Rs. $8250$

Hence P's share = $(\frac{5}{11}\times 8250)$ =Rs $3750$

Thus, (either statement 3 is redundant or Statement 1 and 2 are redundant).
option B