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
|
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
Incorrect AnswerRs 35, 000
Incorrect AnswerRs 45, 000
Incorrect AnswerRs 50, 000
Incorrect AnswerRs 30, 000
Correct AnswerExplanation:
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
Hence, option 5 is the correct answer.
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By: Amit Kumar