If the difference between the two numbers is 30 percent of their sum, then what is the ratio of larger number and smaller number?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 13 : 7.
Let the two numbers be x and y
According to the question,
⇒ x - y = 30% × (x + y)
⇒ x - y = 30/100 × (x + y)
⇒ x - y = 0.3(x + y)
⇒ x - y = 0.3x + 0.3y
⇒ x - 0.3x = 0.3y + y
⇒ 0.7x = 1.3y
⇒ x/y = 1.3/0.7
⇒ x/y = 13/7
Thus, the ratio of the larger number and the smaller number is 13 : 7