Given:
Cost price of each spectacle = Rs. 4,000
Profit on first spectacle = 30%
Loss on second spectacle = 10%
Loss on third spectacle = 10%
Formula used:
Profit = Selling price - Cost price
Loss = Cost price - Selling price
Profit percentage = Profit/Cost price x 100
Loss percentage = Loss/Cost price x 100
Solution:
The profit on the first spectacle is Rs. 4,000 x 30/100 = Rs. 1,200.
The Selling price of the first spectacle is Rs. 4,000 + Rs. 1,200 = Rs. 5200.
The loss on the second spectacle is Rs. 4,000 x 10/100 = Rs. 400.
The Selling price of the second spectacle is Rs. 4,000 - Rs. 400 = Rs. 3,600.
The loss on the third spectacle is Rs. 4,000 x 10/100 = Rs. 400.
The Selling price of the third spectacle is Rs. 4,000 - Rs. 400 = Rs. 3,600.
The total cost of the three spectacles is Rs. 4000 + Rs. 4000 + Rs. 4000 = Rs. 12,000.
The total selling price of the three spectacles is Rs.5200 + Rs. 3,600 + Rs. 3,600 = Rs. 12,400.
The total profit earned in the whole transaction is Rs. 12,400 - Rs. 12,000 = Rs. 400.
The total profit percentage is Rs. 400 /12000 × 100 = 3.33%
Therefore, the total percentage of profit earned in the whole transaction is 3.33%.