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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
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
Hence, option 3 is the correct answer.
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