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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