A table and a swing were sold for Rs. 9,936 each. The table was sold for a profit of 8% and the swing was sold for a loss of 8%. What is the gain or loss percentage in the whole transaction?

Correct option is B

Given:

Selling price of each, the table and the swing = Rs. 9,936

Profit on the table = 8%

Loss on the swing = 8%

Formula Used:

Profit Formula = Selling Price= Cost Price + Profit

​$$\text{Cost Price} = \frac{\text{Selling Price}}{1 + \frac{\text{Profit Percentage}}{100}}$$​​

Selling Price = Cost Price − Loss

​$$\text{Cost Price} = \frac{\text{Selling Price}}{1 - \frac{\text{Loss Percentage}}{100}}$$​

Solution:

​$$\text{Cost Price of Table} = \frac{9,936}{1 + \frac{8}{100}} = \frac{9,936}{1.08}$$ = 9200

​$$\text{Cost Price of Swing} = \frac{9,936}{1 - \frac{8}{100}} = \frac{9,936}{0.92}$$​= 10800​

Total Cost Price = 9,200 + 10,800 = 20,000

Total Selling Price = 9,936 + 9,936 = 19,872

Overall Loss = Total Cost Price − Total Selling Price

= 20,000 − 19,872 = 128 

Then, loss % 

= $$\frac{128}{20,000} \times 100 = 0.64\%$$loss