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    Question

    Ravi invested Rs. 3000 in a business. After

    data-start="1237" data-end="1242">x months, Sanjay joined him with Rs. 2000. If Sanjay got Rs. 2250 out of the total annual profit of Rs. 8250, find the value of x .
    A 4 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question, (3000 × 12) : [2000 × (12 – x)] = (8250 – 2250) : 2250 → 36000 : [2000 × (12 – x)] = 6000 : 2250 → 36000 / [2000(12 – x)] = 6000 / 2250 Cross-multiplying: 36000 × 2250 = 6000 × 2000 × (12 – x) Simplify: 36000 / 2000 = 6000 / (12 – x) → 18 = 6000 / (12 – x) → 18(12 – x) = 6000 → 216 – 18x = 6000 → x = 4

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