1.

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

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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