When 3 is added to both numerator and denominator a fraction becomes 10/11, and when 4 is subtracted from both it becomes 3/4. What is the fraction?
A3/5
B3/4
C6/13
D7/8
Answer & Solution
Correct answer: D. 7/8
1. (n+3)/(d+3) = 10/11 gives 11n - 10d = -3. (n-4)/(d-4) = 3/4 gives 4n - 3d = 4.
2. Solving: from the second, 3d = 4n - 4. Substituting, 11n - 10(4n-4)/3 = -3 leads to 7n = 49, n = 7.
3. Then d = 8, so the fraction is 7/8.
_Source: RRB Group D CEN-02/2018 PYQ, Q.74._
Related questions
A cake is shared among 5 friends. Four of them take 1/8, 1/6, 5/12 and 1/12 of the cake reArpan, Tanvi and Rishav shared a cake. Arpan had 1/12 of it and Rishav had 3/4 of it, and To which of the following fractions must 5/16 be added to get 1?In a garden of 42 trees, 3/7 are Neem trees and the rest are Mango trees. Find the number A man pays off 3/20th of his debt every month. At the end of 6 months his balance debt is Arrange the fractions 2/3, 4/5, 1/2 and 3/4 in descending order.