###
**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**

## Show Answer

Solution(By Apex Team)

$\begin{array}{rcccc}
& \mathrm{M} & : & \mathrm{P} & : & \mathrm{Q} \\
\text { Capital } \rightarrow & 6500 & : & 8400 & : & 10000 \\
& 65 & : & 84 & : & 100 \\
\text { Time } \rightarrow & \times 6 & : & \times 5 & : & \times 3 \\
& 390 & : & 420 & : & 300 \\
\hline \text { Profit } \rightarrow & 13 & : & 14 & : & 10
\end{array}$
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
$\begin{aligned}&37\text{ units }=\text{ Rs. }7030\\
&1\text{ unit }=\text{ Rs. }\frac{7030}{37}\\
&\text{Profit of Q = 10 units}\\
&\text{= Rs.}\ \frac{7030}{37}\times10\\
&\text{= Rs.}\ 1900\end{aligned}$

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