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MathNet 2019-part-06 — 184 problems (EN–VI) Question 108

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 108

Tadej wrote a fraction different from $0$ on the board. Sara increased the numerator of Tadej's fraction by $40\%$ to obtain a new fraction. By how many percent must Katja decrease the denominator of Sara's new fraction to obtain a fraction whose value is twice the value of Tadej's fraction?

(A) 25
(B) 30
(C) 40
(D) 45
(E) 50