Difference of two numbers is 1670. If 7.5% of the number is 12.5% of the other number , find the number ?
Choose the correct option:
A) 2660 , 1000
B) 3660 , 2000
C) 3000 , 4160
D) 2490 , 4150
E) 2505 , 4175

Rationale: "let the numbers be x and y . then , 7.5 % of x = 12.5 % of y x = 125 * y / 75 = 5 * y / 3 . now , x - y = 1670 5 * y / 3 – y = 1670 2 * y / 3 = 1670 y = [ ( 1670 * 3 ) / 2 ] = 2505 . one number = 2505 , second number = 5 * y / 3 = 4175 . answer e ."
Answer: E