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    Question

    Riya and Sita started a business by investing Rs.

    ‘x’ and Rs. (x + 4,000), respectively. Four months later, Karan joined them by investing Rs. 12,000. If at the end of the year, the profit earned by Sita was 20% less than the profit earned by Riya and Karan together, then find the amount invested by Sita.
    A Rs. 16,000 Correct Answer Incorrect Answer
    B Rs. 12,000 Correct Answer Incorrect Answer
    C Rs. 18,000 Correct Answer Incorrect Answer
    D Rs. 10,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit shares of Riya, Sita and Karan at the end of the year = (12 × x) : {12 × (x + 4000)} : (12000 × 8) So, 12x : 12(x + 4000) : 96000 Dividing the whole ratio by 12, we get: x : (x + 4000) : 8000 ATQ: Sita’s profit was 20% less than the profit of Riya and Karan together. So, Sita’s share = 80% of (Riya’s share + Karan’s share) (8000 + x) × 0.8 = (x + 4000) Or, 0.8x + 6400 = x + 4000 Or, 6400 − 4000 = x − 0.8x Or, 2400 = 0.2x So, x = 2400 / 0.2 = 12000 So, amount invested by Sita = x + 4000 = 12000 + 4000 = Rs. 16,000

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