A green grocer sells a melon at a profit if 37% on the price he pays for it. What is the ratio of the cost price to the selling price?

To determine the ratio of the cost price to the selling price, we first need to understand that a profit of 37% means that the selling price is 37% higher than the cost price.

Let's assume the cost price of the melon is C.

To calculate the selling price, we add the profit to the cost price:
Selling Price = Cost Price + Profit
Selling Price = C + (37/100)*C
Selling Price = C + 0.37C
Selling Price = 1.37C

Now, the ratio of the cost price to the selling price can be expressed as:
Cost Price : Selling Price
C : 1.37C

To simplify and find the ratio, we divide both sides of the ratio by C:
C/C : 1.37C/C
1 : 1.37

Therefore, the ratio of the cost price to the selling price is 1 : 1.37.

To find the ratio of the cost price to the selling price, we need to determine the actual values of the cost price and the selling price.

Let's assume the cost price of the melon is "C" and the selling price is "S".

According to the given information, the green grocer sells the melon at a profit of 37% on the price he pays for it. This means the selling price is 37% more than the cost price.

Mathematically, we can represent this as:

S = C + 0.37C
= 1.37C

Now, to find the ratio of the cost price (C) to the selling price (S), we divide the cost price by the selling price:

C/S = C/1.37C
= 1/1.37
≈ 0.73

Therefore, the ratio of the cost price to the selling price is approximately 0.73.

1/1.37