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?Solution
Number of toffees received by A = x% of 300 Number of toffees received by B = 2x % of (100 β x)% of 300 Number of toffees received by C = (x + 5)% of (100 β x)%Γ (100 β 2x)% of 300 (100 β x) Γ (100 β 2x) Γ (95 β x) = 36 Γ 100 Γ 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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