fee bought some toffee at the rate of 15 toffees for 3 and sold all of them at the rate of 3 toffee for 2. Find the gain or loss.

Correct option is B

Given:

Cost Price = 15 toffees for 3 

Selling Price = 3 toffee for 2.

Formula Used:

$$\text{Gain Percentage} = \left( \frac{\text{Total Gain}}{\text{Total Cost Price}} \right) \times 100$$​​

Solution: 

Cost Price per toffee = $$\frac{3}{15}$$ =  $$\frac{1}{5}$$​(per toffee)​

Selling Price per toffee =  $$\frac{2}{3}$$​(per toffee) 

Gain per toffee = Selling Price per toffee − Cost Price per toffee

Gain per toffee = $$\frac{2}{3} - \frac{1}{5}$$

Gain per toffee = $$\frac{10}{15} - \frac{3}{15} = \frac{7}{15}$$ 

Since Fee bought 15 toffees, the total gain will be: 

​$$\text{Total Gain} = 15 \times \frac{7}{15} = 7$$ 

​$$\text{Gain Percentage} = \left( \frac{7}{3} \right) \times 100 = 233 \frac{1}{3}$$%

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