Question
If the numerator of a fraction is increased by 20% and
the denominator is decreased by 10%, the value of the fraction becomes 16/21. The original fraction is:Solution
Let fraction be x/y. New numerator = 1.2x New denominator = 0.9y (1.2x) / (0.9y) = 16/21 (12x) / (9y) = 16/21 (4x) / (3y) = 16/21 x/y = (16/21) × (3/4) x/y = (4/7)
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