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5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?
102 & 6
100 & 4
99 & 3
88 & 5
Let the first number be x and the second number be y.
Given
5% of x = (25% of y) + y
=> 5x/100 = 5y/4
=> x = 25y ......(1)
and also given that, x - y = 96
=> x = 96 + y .....(2)
From (1)&(2)
25y = 96 + y
=> 24y = 96
=> y = 4
From (1)
x = 96 + 4 = 100
The numbers are 100 & 4.
Hence, option 2 is the correct answer.
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