Question : Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his business with a capital of Rs.30,000. At the end of the year, they have made a profit of Rs. 19,000. What will be Anil's share of the profit?
Option 1: Rs. 10,000
Option 2: Rs. 12,500
Option 3: Rs. 10,250
Option 4: Rs. 14,000
Correct Answer: Rs. 10,000
Solution :
Given: Total profit = Rs. 19,000
According to the question,
The ratio of the equivalent capitals of Anil and Vishal for 1 year:
= (25000 × 12) : (30000 × 9)
= (25 × 12) : (30 × 9)
= 10 : 9
The sum of the ratio of Anil and Vishal = 10 + 9 = 19
$\therefore$ Anil's share = $\frac{\text{Ratio of Anil}}{\text{Sum of ratio of Anil and Vishal}}$ × Total Profit = $\frac{10}{19}$ × 19000 = 10000
Hence, the correct answer is Rs. 10,000.
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