If the ratio of total profit to B rsquo s share in profit after a year is 34 11 find the total inves...........

Quantitative Aptitude ( CCS) Case Studies

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

A, B and C enter into a partnership. They invest money 3 times in a year (12 months) in equal intervals. They start by investing money in ratio 4 : 2 : 3 for the first interval. For second interval, they invest money in ratio 3 : 4 : 3. And for the third interval, A invests double his previous investment, and B and C invest Rs 200 more than their respective previous investments. At the end of second interval, C’s total investment was Rs 200 less than that of A that time.

If the ratio of total profit to B’s share in profit after a year is 34 : 11, find the total investment made by C?

Rs 1400

Rs 1800

Rs 2400

Rs 2200

Rs 2000

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Explanation:

3 equal intervals in 12 months = 4 months each
A invests – 4x, 3y and 6y
B invests – 2x, 4y and (4y+200)
C invests – 3x, 3y and (3y+200)
Now given that 3x + 3y = 4x + 3y – 200
Solve, x = 200
Ratio of profits of A : B : C is
4x*4 + 3y*4 + 6y*4 : 2x*4 + 4y*4 + (4y+200)*4 : 3x*4 + 3y*4 + (3y+200)*4
(4x + 9y) : (2x + 8y + 200) : (3x + 6y + 200)
Put, x = 200
(200+9y) : (600+8y) : (800+6y)
Now:
(600+8y)/(2200+23y) = 11/34
Solve, y = 200
So total investment of C = 3x +3y + (3y+200) = Rs 2000