By what fraction the selling price must be multiplied to get the cost price, if gain is 25%?5454454514144

To find the fraction by which the selling price must be multiplied to get the cost price, we first need to understand the relationship between cost price, selling price, and gain.

1. Let's denote the cost price as C.

2. Given that the gain is 25%, this means that the selling price is 125% of the cost price. We can express this as: Selling Price = 1.25 * C.

3. We want to find a fraction such that when we multiply it with the selling price, we get the cost price. Let's denote this fraction as F. So, we have: F * Selling Price = C.

4. Substituting the expression for Selling Price from step 2 into this equation gives us: F * 1.25 * C = C.

5. To solve for F, we divide both sides of the equation by 1.25 * C. This gives us: F = C / (1.25 * C).

6. The C's cancel out on the right side of the equation, leaving us with: F = 1 / 1.25.

7. Simplifying this fraction gives us: F = 4/5.

So, the selling price must be multiplied by 4/5 to get the cost price if the gain is 25%.