Question

If the numerator of a fraction is decreased by 10% and the denominator is increased by 22%. The value of the new fraction becomes 117/122. Find the original fraction
1. 15/10
2. 16/10
3. 17/10
4. 13/10

Answer 1

Correct Answer - Option 4 : 13/10

Given

Numerator is decreased by 10%

Denominator is increased by 22%

Calculation

Let the original fraction is x/y

According to question

[x - 10% of x]/[y + 22% of y] = 117/122

⇒ (90x/100)/(122y/100) = 117/122

⇒ 90x/122y = 117/122

⇒ x/y = (117 × 122)/(122 × 90)

⇒ x/y = 13/10

∴ Original fraction is 13/10