After 8 months had all invested double the amount than their respective previous investment what wou...........

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.

After 8 months, had all invested double the amount than their respective previous investment what would be the total profit at the end of year? Given that difference between the shares of profit of B and C from total profit is Rs 1300 and total of shares of profits of A and C is Rs 16250.

Rs 22650

Rs 26250

Rs 25350

Rs 22850

Rs 28450

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Explanation:

Ratio of profits of A : B : C is
4x*4 + 3y*4 + 6y*4 : 2x*4 + 4y*4 + 8y*4 : 3x*4 + 3y*4 + 6y*4
x = 200
So ratio becomes
(800+9y) : (400+12y) : (600+9y)
Now
(400+12y-600-9y)/(1800+30y) * total profit = 1300
and
(800+9y+600+9y)/(1800+30y) * total profit = 16250
Divide both equations and solve, y = 200
So now ratio becomes
(800+9y) : (400+12y) : (600+9y) [put y = 200]
13 : 14 : 12
and 2/39 * total profit = 1300
Solve, total profit = Rs 25350