If 40% of a number x is added to another number y, then y becomes 125% of its…
2026
If 40% of a number x is added to another number y, then y becomes 125% of its previous value. Find which of the following is true regarding the values of x and y?
- A.
x/y = 8/5
- B.
x = y
- C.
x/y = 5/8
- D.
x/y = 3/4
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Correct answer: C
Let's translate the problem statement into an equation.
We are told that 40% of x added to y makes y become 125% of its previous value.
Mathematically, this is written as: y + 0.4x = 1.25y. To find the relationship between x and y, we rearrange the terms: 0.4x = 1.25y - y, which simplifies to 0.4x = 0.25y.
Now, we solve for the ratio x/y by dividing both sides: x/y = 0.25 / 0.4.
To simplify the fraction, multiply numerator and denominator by 100: x/y = 25 / 40.
Finally, reduce the fraction by dividing both by their greatest common divisor, which is 5: x/y = 5 / 8.