Three partners invest a total of Rs.9000 in a business, with the second putting in Rs.1000 more than the first, and the third Rs.1000 more than the second. From a Rs.5400 profit after two years, how much does the third person receive?
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Answer: A. Rs.2400
Explanation
Representing the partner investments as x, x plus one thousand, and x plus two thousand allows their sum equation to equal nine thousand. Solving three x plus three thousand equals nine thousand gives x equals two thousand, making investments two thousand, three thousand, and four thousand. The third partner receives a profit share proportional to their four thousand investment out of nine thousand total, yielding twenty-four hundred rupees. Partnership profit distribution allocates earnings among investors in direct proportion to their invested capital amounts and time durations. Linear algebraic equations model arithmetic progression investments easily when given fixed increment differences. Fractional profit shares are calculated by dividing an individual's investment by the total pooled capital sum.
Option B suggests thirty-six hundred rupees, which represents an incorrect profit fraction calculation for the third partner. Option C proposes twenty-eight hundred fifty rupees, failing to match the proportional investment share ratio. Option D offers two thousand rupees, which corresponds to the first partner's smaller investment share.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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