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    Question

    A teacher distributes 300 toffees among her 4 students,

    A, B, C and D. A gets x% of total toffees, B receives 2x% of the remaining toffees, C receives (x + 5)% of the remaining toffees and D receives 108 toffees. Find the value of x?
    A 25 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 12.5 Correct Answer Incorrect Answer

    Solution

    Number of toffees received by A = x% of 300 Number of toffees received by B = 2x % of (100 – x)% of 300 Number of toffees received by C = (x + 5)% of (100 – x)%× (100 – 2x)% of 300 (100 – x) × (100 – 2x) × (95 – x) = 36 × 100 × 100 By putting the values from option, we find out that x = 20 satisfies the above equation. Hence, option c) is the correct answer.

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