Question : A, B, and C enter into a partnership by investing their capitals in the ratio of $\frac{2}{5}: \frac{3}{4}: \frac{5}{8}$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of INR 2,82,100 at the end of the year?
Option 1: INR 83,200
Option 2: INR 97,500
Option 3: INR 1,01,400
Option 4: INR 1,00,750
Correct Answer: INR 1,01,400
Solution :
Investment ratio of A, B, and C = $\frac{2}{5} : \frac{3}{4} : \frac{5}{8} = 16 : 30 : 25$
So, A's profit : B's profit : C's profit
= $(16 \times 4 + 24 \times 8 ) : (30 \times 4 + 24 \times 8) : (25 \times 12)$
= $256: 312: 300$
= $ 64: 78: 75$
Now,
B's profit $=282100 \times \frac{78}{217}$ = INR 1,01,400
Hence the correct answer is INR 1,01,400.
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