Question

P, Q and R enter into a partnership in the ratio$\frac{5}{2}:\frac{7}{3}:\frac{7}{5}$. After 3 months, P increases his share by 16%. The total profit at the end of one year is Rs. 16800. What is Q's share in the profit?

• A. Rs. 2100
• B. Rs. 2400
• C. Rs. 3600
• D. Rs. 6000
• E. Rs. 4800

Answer 1

The correct option is D

Rs. 6000

Ratio of initial investments = $(\frac{5}{2}:\frac{7}{3}:\frac{7}{5})$
Let the initial investments be 75x, 70x and 42x.
$\therefore P:Q:R=((75x\times 3+\frac{116}{100}\times 75x\times 9):(70x\times 12):(42x\times 12)=1008x:840x:540x=6:5:3$
Hence, Q's share = Rs.$(16800\times \frac{5}{14})=Rs.6000$