Anil bought 100 eggs at Rs. 6 per egg. He sold 25 eggs at 10% profit, another 25 eggs at 25% loss and the balance 50 eggs at 20% profit. Find the overall profit or loss percent Anil made.
1). 6.25% loss
2). 6.25% profit
3). 8% profit
4). 12% loss
Total cost price = 6 × 100 = Rs. 600
Now, 25 eggs are sold at 10% profit,
⇒ Selling price of 1 egg = 6 + 10% of 6 = Rs. 6.6
⇒ Selling price of 25 eggs = 6.6 × 25 = Rs. 165
Also, 25 eggs are sold at 25% loss,
⇒ Selling price of 1 egg = 6 - 25% of 6 = Rs. 4.5
⇒ Selling price of 25 eggs = 4.5 × 25 = Rs. 112.5
Now, 50 eggs were sold at 20% profit,
⇒ Selling price of 1 egg = 6 + 20% of 6 = Rs. 7.2
⇒ Selling price of 50 eggs = 7.2 × 50 = Rs. 360
⇒ Total selling price = 165 + 112.5 + 360 = Rs. 637.5
⇒ Profit % = {(selling price - cost price)/cost price} × 100
⇒ Profit % = {(637.5 - 600)/600} × 100 = 6.25%