If 15% of x is the same as 20% of y, then x : y is? Options :3 : 417 : 164 : 316 : 17

Question

If 15% of x is the same as 20% of y, then x : y is?

Options :

3 : 4
17 : 16
3 : 16
17 : 17

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Solution

Given that 15% of x is the same as 20% of y, we can set up the equation as follows:

0.15x = 0.20y

To find the ratio of x to y, we can divide both sides of the equation by 0.15x:

1 = 0.20y / 0.15x

Solving for y / x, we get:

y / x = 1 / (0.20 / 0.15)

Simplifying the right side of the equation, we get:

y / x = 0.15 / 0.20

Simplifying further, we get:

y / x = 3 / 4

Therefore, the ratio of x to y is the reciprocal of 3 / 4, which is 4 / 3 or 4:3. So, the correct option is 4 : 3.

This problem has been solved

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