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Multiple Choice Questions

In 2014 out of the total profit Q got Rs 12 000 as his share R invested Rs 3600 If ratio of share of...........

Quantitative Aptitude (HAS) Data Table

Direction : Study the following table and answer the questions that follow:

Year	Ratio of Investment of P:Q:R	Period of Investment(Months)			Total Profit (in Rs.)
Year	Ratio of Investment of P:Q:R	P	Q	R	Total Profit (in Rs.)
2012	4:3:5	4	6	-	20800
2013	-:3:-	8	5	6	39650
2014	5:4:-	3	5	5	-
2015	-:-:-4	-	-	4	22550
2016	3:-:5	4	7	6	14700

In 2014, out of the total profit, Q got Rs 12,000 as his share. R invested Rs 3600. If ratio of share of R in total profit to total profit is 3 : 10, find the total profit.

Rs 40, 000

Rs 35, 000

Rs 45, 000

Rs 50, 000

Rs 30, 000

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Explanation:

In 2014, P invested Rs 5x, Q – 4x and R 3600
So ratio of share of profits of P, Q and R:
5x*3: 4x*5 : 3600*5
3x : 4x : 3600
Let total profit = Rs y
So 4x/(7x+3600) * y = 12000………………………(1)
xy/(7x+3600) = 3000
Also,
[3600/(7x+3600) * y]/y = 3/10
y gets cancelled
Solve, x = 1200
Put in (1)
Solve, y = Rs 30, 000 = total profit