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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.)
P
Q
R
2012
4:3:5
4
6
-
20800
2013
-:3:-
8
5
39650
2014
5:4:-
3
2015
-:-:-4
22550
2016
3:-:5
7
14700
In 2013, if out of the total profit, P and R got a share of Rs 10,400 and Rs 19,500 respectively, what is the ratio of investment of P, Q and R respectively?
3 : 3 : 5
4 : 3 : 2
2 : 5 : 5
2 : 3 : 5
2 : 5 : 3
x*8 : 3*5 : y*6 8x : 15 : 6y So 8x/(8x+15+6y) * 39650 = 10400 Solve, 225x – 60y = 150 15x – 4y = 10……………………………………(1) Also 6y/(8x+15+6y) * 39650 = 19500 Solve, 61y = 75 + 40x + 30y 40x – 31y = -75………………………………….(2) Solve equations (1) and (2) x = 2, y = 5 So ratio of investment is x : 3 : y = 2 : 3 : 5
Hence, option 4 is the correct answer.
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