1/3rd of population of country X live in rural areas rest live in urban cities. If 4/5 of the rural population has not filed a IT returns and the fraction of urban population students who have filed IT return is 3 times the fraction of the rural population who have filed the return, then what fraction of the population is urban population who have not filed the return?
Explanation:
Let the total population be 300.
Rural population = 100
Urban population = 200
Fraction of rural population who have filed IT return = (1 – 4/5) = 1/5
Fraction of urban population who have filed IT return = 3 × 1/5 = 3/5
∴ Urban population who have filed IT return = 3/5 × 200 = 120
∴ Urban population who have not filed IT return = 200 - 120 = 80.
∴ Required fraction = 80/300 = 4/15
Hence, option (a).
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