# The difference of two numbers is If 7.5% of one number is equal to 12.5%

The difference of two numbers is If 7.5% of one number is equal to 12.5% of the other number, then the two numbers are

(1) 2490, 4150

(2) 2510, 4170

(3) 2600, 4260

(4) 2700, 4360

**Answer: (1) 2490, 4150 **

**Solution:-**

Let the one number be X

The difference of two numbers is 1660

Then, another number = X + 1660

If 7.5% of one number is equal to 12.5% of the other number.

Then, X x 7.5/100 = (X + 1660) x 12.5/100

75 X/1000 = (X + 1660) x 125/1000

75 X = 125 X + 1660 x 125

50 X = 1660 x 125

X = 1660 x 125/50

X = 830 x 5

X = 4150

Then, other number will be 4150 – 1660

= 2490

So, the two numbers are 2490, 4150.

Hence, the correct answer is option (1) 2490, 4150.