In a library, 25% of the number of mathematics books is equal to two-thirds of the number of physics books. What is the ratio of the number of mathematics books to that of the physics books in the library?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 8 : 3.
Let the number of mathematics books be "x" and the number of physics books be "y".
According to the given information, 25% of the number of mathematics books is equal to two-thirds of the number of physics books
⇒ (25/100) × x = (2/3) × y
⇒ (1/4) × x = (2/3) × y
⇒ x/y = 2/3 × 4 = 8/3
⇒ x : y = 8 : 3
So, the ratio of the number of mathematics books to the number of physics books in the library is 8 : 3.