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If the numerator of a fraction is increased by 15% and the denominator is decreased by 20%, then the fraction, so obtained, is 17/65. What is the original fraction?1. 281/14952. 278/14953. 267/14954. 272/1495 |
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Answer» Correct Answer - Option 4 : 272/1495 Given: If the numerator of a fraction is increased by 15% and the denominator is decreased by 20%, then the fraction becomes 17/85. Calculation: Let the numerator of the fraction be N, and the denominator of the fraction be D. New numerator = N + (15/100) × N ⇒ (100N + 15N)/100 ⇒ 115N/100 New denominator = D – (20/100) × D ⇒ (100D – 20D)/100 ⇒ 80D/100 New fraction = 115N/80D ⇒ (17/65) = (23N/16D) ⇒ 17 × 16D = 23N × 65 ⇒ 272D = 1495N ⇒ N/D = 272/1495 ∴ The original fraction is 272/1495. |
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