A shopkeeper sells one third amount of a particular item at 16% profit, three fifth at 19.5% profit and the rest at 25% profit. What was the overall profit percentage?
1). 18.7
2). 17.6
3). 19.2
4). 20.5
Let total items be 15 and cost price of each item be Rs. x
Selling price of 5 items = Rs. {(116/100) × 5x}
Selling price of 9 items = Rs. {(119.5/100) × 9x}
Selling price of 1 item = Rs. {(125/100) × x}
Total selling price = {(116/100) × 5x} + {(119.5/100) × 9x} + {(125/100) × x} = Rs. (17805x/1000)
∴ Overall profit percentage = [{(17805/1000) – 15}x/15x] × 100 = 18.7%