A, B, and C invested in a scheme. After three months of the beginning, A gave half of his capital to B and C increased his capital by 50% after 8 months of the beginning. Find the share of A (in Rs.) out of the total profit of Rs.1440 if they invested in the ratio 4 : 7 : 6 ?

200

Investment of A = 4R

Investment of A' = 2R                     (after giving half to B)

Investment of B = 7R

Investment of B' = 9R                     (after receiving 2R from A)

Investment of C = 6R

Investment of C' = 9R                     (after increasing 50%)

Profit Ratio = Investment ratio × time ratio

So, ATQ

                         A   :   A'   :   B   :   B'   :   C   :   C'

Investment ⇒   4   :   2    :   7   :   9    :   6   :    9

Time           ⇒    3   :   9   :   3    :   9    :   8   :    4

 --------------------------------------------------------------------------

Profit          ⇒   12  :  18  :   21  :  81   :  48  :    36

So,

                       (A + A')  :   (B + B')  :  (C + C')

Profit          ⇒      30      :      102    :      84

                            5       :       17    :      14

Now, total profit = 5 + 17 + 14 = 36R = 1440

⇒ 1R = 40

A's profit = 5R ⇒ 5 × 40 = 200