Discussion
A, B and C started a business where their initial capital was in the ratio of 4:5:6. At the end of 8 months, A invested an amount such that his total capital became half to C’s initial capital investment. If the annual profit of B is Rs. 7500 then what is the total profit ?
Answer: A
Take the capitals as 4, 5 and 6, and the year as 12 months. A's capital changes after 8 months to half of C's initial 6, that is 3.
\[ A: 4 \times 8 + 3 \times 4 = 32 + 12 = 44 \]
\[ B: 5 \times 12 = 60 \]
\[ C: 6 \times 12 = 72 \]
\[ \text{total} = 176 \]
B's Rs. 7500 corresponds to 60 of those 176 parts:
\[ \text{total profit} = 7500 \times \frac{176}{60} = \text{Rs. } 22{,}000 \]
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