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 ?
Answer & explanation
Correct answer: option 3
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
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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