Correct Answer - Option 1 : 2490, 4150
Given:
The difference of two numbers is 1660.
If 7.5% of one number is equal to 12.5% of the other number
Calculation:
Let the two number be x and y
According to the question,
7.5% of x = 12.5% of y
⇒ 7.5 x = 12.5 y
⇒ x/y = 5/3
⇒ x = (5/3)y ----(1)
The difference of two numbers is 1660.
⇒ x - y = 1660 ----(2)
Putting the equation 1 in the equation 2
⇒ (5/3)y - y = 1660
⇒ (2/3)y = 1660
⇒ y = 2490
⇒ x = (5/3)× 2490
⇒ x = 4150
∴ The two number is 2490, 4150.
