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X started a business with initial capital of Rs. 3600. After 4 months, Y joined the business with Rs. 7200. Six months after the business started, Z joined with Rs. 2400. If the total profit earned at the end of the year is Rs. 3520, then what is the share in the profit for X?

X started a business with initial capital of Rs. 3600. After 4 months, Y joined the business with Rs. 7200. Six months after the business started, Z joined with Rs. 2400. If the total profit earned at the end of the year is Rs. 3520, then what is the share in the profit for X? Correct Answer Rs. 1320

X invested Rs. 3600 for 12 months, Y invested Rs. 7200 for (12 - 4 = 8 months), Z invested Rs. 2400 for (12 - 6 = 6 months)

We know that if both the Investment and Time Periods are different, then the Profit will be divided in the ratio of the product of their Investment and Time Period

Ratio of the Profits = (3600 × 12) : (7200 × 8) : (2400 × 6) = 432 : 576 : 144 = 3 : 4 : 1

As the total profit is Rs. 3520, share of X = × 3520 = (3/8) × 3520 = Rs. 1320

∴ Share of X in the total profit = Rs. 1320

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