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Aptitude Day 212

Problems on Partnership:

1. A, B and C enter into a partnership in the ratio 2/5: 3/4: 1/3. After 6 months, B increases his share by 80%. If the total profit at the end of one year is 42,800, then C’s share in the profit is:

Solution:
                 24x(12) : (45x*6 + 180/100*45x*6) : 20x*12
                 24(12) : 54(14) : 24(10)
                 24: 63: 20

                 By adding the above ratio, we get 107.

                 C’s share = 42,800*20/107 = 8,000.


2. A and B entered into a partnership with capitals in the ratio 2:3. After 4 months, A withdrew 1/2 of his capital and B withdrew 1/3 of his capital. The gain at end of 12 months was 1430. A’s share in this profit is:

Solution:
                 (2x*4)+[(2x-(2x/2))*8] : (3x*4)+ [(3x-(3x/3))*8] 
                 8x+8x : 12x+16x
                 4: 7

                 By adding the above ratio, we get 11.
                A’s share in the profit = 1430*4/11 = 520. 


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