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

 

Anurag Mishra Professor Asked on 19th April 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 20th April 2016.
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