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Asked in a 2000 paper

Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

Correct answer: A. Rs.2400

  • A. Rs.2400
  • B. Rs.3600
  • C. Rs.2850
  • D. Rs.2000

Explanation

Let the first investment be Rs.x, so the three investments are Rs.x, Rs.(x + 1000), and Rs.(x + 2000). Since their total is Rs.9000, 3x + Rs.3000 = Rs.9000, giving x = Rs.2000 and the third investment as Rs.4000. The third person's share is Rs.5400 x 4000/9000 = Rs.2400. The likely mistake is option b, Rs.3600, which treats the third investment as half of the total instead of using the ratio 2:3:4.

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