If the numerator of a fraction is increased by 20% and its denominator is decreased by 10%, the fraction becomes \(\frac{16}{21}\). What is the original fraction?

A. \(\frac{3}{7}\)

B. \(\frac{5}{7}\)

C. \(\frac{4}{7}\)

D. \(\frac{2}{3}\)

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cgl Save WhatsApp Report

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Answer: C. \(\frac{4}{7}\)

Answer: (C) \(\frac{4}{7}\)

Shortcut: new fraction = original × \(\frac{1.2}{0.9} = \) original × \(\frac{4}{3}\).

Original = \(\frac{16}{21} \times \frac{3}{4} = \frac{4}{7}\).

Check: \(\frac{4 \times 1.2}{7 \times 0.9} = \frac{4.8}{6.3} = \frac{16}{21}\).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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