 ### M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q’s share is ?

A. Rs. 1900 B. Rs. 2100 C. Rs. 3200 D. Data are incomplete Answer: Option A
$\begin{array}{rcccc} & \mathrm{M} & : & \mathrm{P} & : & \mathrm{Q} \\ \text { Capital } \rightarrow & 6500 & : & 8400 & : & 10000 \\ & 65 & : & 84 & : & 100 \\ \text { Time } \rightarrow & \times 6 & : & \times 5 & : & \times 3 \\ & 390 & : & 420 & : & 300 \\ \hline \text { Profit } \rightarrow & 13 & : & 14 & : & 10 \end{array}$ M’s extra share on work in partner \begin{aligned}&=Rs.7400\times\frac{5}{100}\\ &=Rs.370\end{aligned} Remaining profit $\begin{array}{l} =\text { Rs. }(7400-370) \\ =\text { Rs. } 7030 \end{array}$ According to the question, (13 + 14 + 10) units = Rs. 7030 \begin{aligned}&37\text{ units }=\text{ Rs. }7030\\ &1\text{ unit }=\text{ Rs. }\frac{7030}{37}\\ &\text{Profit of Q = 10 units}\\ &\text{= Rs.}\ \frac{7030}{37}\times10\\ &\text{= Rs.}\ 1900\end{aligned}