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 ?

Solution(By Examveda Team)

	M	:	P	:	Q
Capital →	6500	:	8400	:	10000
	65	:	84	:	100
Time →	×6	:	×5	:	×3
	390	:	420	:	300
Profit →	13	:	14	:	10

M's extra share on work in partner
$$\eqalign{ & = {\text{Rs}}.7400 \times \frac{5}{{100}} \cr & = {\text{Rs}}{\text{.370 }} \cr & {\text{Remaining profit}} \cr & = {\text{Rs}}{\text{.}}\left( {{\text{7400}} - {\text{370}}} \right) \cr & = {\text{Rs}}.\,7030 \cr} $$
According to the question,
(13 + 14 + 10) units = Rs. 7030
$$\eqalign{ & {\text{37 units}} = {\text{Rs}}{\text{. 7030}} \cr & {\text{1 unit}} = {\text{Rs}}{\text{.}}\frac{{7030}}{{37}} \cr & {\text{Profit of Q}} = {\text{10 units}} \cr & = {\text{Rs}}.\frac{{7030}}{{37}} \times 10 \cr & = {\text{Rs}}.\,1900 \cr} $$