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    Question

    C and J are business partners. C invests Rs 30,000, and

    J invests Rs 20,000 at the beginning of 2020. In each of the next 6 months after the first month, C adds Rs 1000, while J removes Rs 1000. In the remaining months, C removes Rs 1000, and J adds Rs 1000 every month. R joins them three months after the start and continues until the end of the year with an investment of Rs 55,000.Then, What will be the difference in the shares of R and C after a year, given that the total profit at the end of the year is Rs 2,19,000.
    A 19800 Correct Answer Incorrect Answer
    B 12200 Correct Answer Incorrect Answer
    C 15000 Correct Answer Incorrect Answer
    D 25000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let C investment = (30,000+31,000+32,000+33,000+34,000+35,000+36,000) + (35,000+34,000+33,000+32,000+31,000) 1000{[30+31+32+33+34+35]+[35+34+33+32+31]} = 1000(396) = Rs.3.96,000 J’s Investment = 1000[(20+19+18+17+16+15+14) + (15+16+17+18+19)] = 1000(204) = Rs.2,04,000 R’s Investment = 55,000 × 9 = Rs.4,95,000 Ratio’s of profit = C:J:R = 396:204:495 Hence required  difference = [(495-396)×2,19,000]/(396+204+495) = (99 × 2.19,000)/1095 = Rs.19,800

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