If 15% of x = 20% of y, then x : y is :(a)   3 : 4      (b)   4 : 3      (c)   17 : 16     (d)  16 : 17Options :abcd

Given that 15% of x = 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

Simplifying the right side of the equation gives us:

1 = 1.33y / x

Therefore, the ratio of x to y is 1 : 1.33, which simplifies to approximately 3 : 4.

So, the answer is (a) 3 : 4.

The problem is asking for the ratio of x to y given that 15% of x equals 20% of y.

Here are the steps to solve this problem:

1. First, we can express the problem as an equation: 0.15x = 0.20y
2. To simplify the equation, we can divide both sides by 0.05 to get: 3x = 4y
3. To find the ratio of x to y, we can divide both sides by y to get: x/y = 3/4

So, the ratio of x to y is 3:4. Therefore, the answer is (a) 3:4.