There are two fractions such that fraction X is thrice the fraction Y and their product is 25/12. Which of the following is equal to Y?

• A. 5/6
• B. 3/4
• C. 7/8
• D. 9/10

Answer: (A)

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.