Rahul and Ram have sold some wooden and plastic toys. Selling price of each wooden toy sold by Rahul and Ram is equal and total number of toys sold by Ram is 100. Selling price of each plastic toy sold by ram and rahul is equal and the selling price of each wooden toy is two times the selling price of each plastic toy. Number of plastic toys sold by Rahul is 37.5% of the wooden toys sold by him. Number of wooden toys sold by Rahul is 66$\frac{2}{3}$% that of toys sold by Ram. Number of plastic toys sold by Ram is equal to the number of wooden toys sold by Rahul.

Find the ratio of the wooden toys sold by Rahul to the wooden toys sold by Ram.

The correct answer/option is 2:1.

Let us break down the information given in the problem step-by-step to find the ratio of wooden toys sold by Rahul to the wooden toys sold by Ram.

Step 1: Understand the total number of toys sold by Ram
The total number of toys sold by Ram is given as 100.

Step 2: Determine the number of wooden toys sold by Rahul
We are given that the number of wooden toys sold by Rahul is 66$\frac{2}{3}$% of the total toys sold by Ram.
First, convert the percentage to a fraction:
66$\frac{2}{3}$% = $\frac{200}{3}$% = $\frac{200}{3\times 100}$ = $\frac{2}{3}$.
Now, calculate the number of wooden toys sold by Rahul:
Wooden toys (Rahul) = $\frac{2}{3}$ of 100 = $\frac{200}{3}$.

Step 3: Determine the number of plastic toys sold by Ram
We are given that the number of plastic toys sold by Ram is equal to the number of wooden toys sold by Rahul.
Therefore, Plastic toys (Ram) = $\frac{200}{3}$.

Step 4: Determine the number of wooden toys sold by Ram
Since the total number of toys sold by Ram is 100, we can find the number of wooden toys sold by Ram by subtracting the plastic toys sold by Ram from his total toys:
Wooden toys (Ram) = Total toys (Ram) - Plastic toys (Ram)
Wooden toys (Ram) = 100 - $\frac{200}{3}$ = $\frac{300-200}{3}$ = $\frac{100}{3}$.

Step 5: Find the ratio of wooden toys sold by Rahul to those sold by Ram
Ratio = $\frac{\text{Wooden toys sold by Rahul}}{\text{Wooden toys sold by Ram}}$
Ratio = $\frac{200/3}{100/3}$ = $\frac{200}{100}$ = $\frac{2}{1}$.
Thus, the required ratio is 2:1.