Explanation
Step 1: Calculate the Total Cost Price (CP)
The total cost includes the market price of the shares plus the buying brokerage fee.
Market price of 100 shares:
Purchase Price=100×50=Rs. 5000
Brokerage fee on purchase (2%):
Buying Brokerage=1002×5000=Rs. 100
Total Cost Price (CP):
Total CP=Purchase Price+Buying Brokerage
Total CP=5000+100=Rs. 5100
Step 2: Calculate the Total Selling Price (SP)
The net amount received after selling is the total market revenue minus the selling brokerage fee.
Gross selling revenue from 100 shares:
Selling Revenue=100×55=Rs. 5500
Brokerage fee on sale (2%):
Selling Brokerage=1002×5500=Rs. 110
Net Selling Price (SP):
Net SP=Selling Revenue−Selling Brokerage
Net SP=5500−110=Rs. 5390
Step 3: Calculate Net Profit
Net profit is determined by subtracting the total investment cost from the net money recovered.
Net Profit=Net SP−Total CP
Net Profit=5390−5100=Rs. 290
Step 4: Calculate Net Profit Percentage
Profit percentage is always calculated relative to the total money invested (Total CP).
Net Profit Percentage=(Total CPNet Profit)×100
Net Profit Percentage=(5100290)×100
Net Profit Percentage=51290≈5.6862%
Rounding to two decimal places gives 5.69%.
Conclusion
Aryan's net profit percentage on his investment is 5.69%.
Therefore, the correct option is C.
