A shopkeeper bought 600 pens. He sold 480 of them for the price he paid 600 pens, 100 pens at 10% higher rate than that at which he sold 480 pens, and the rest at the cost price. His profit percentage in the transaction is:
A shopkeeper bought 600 pens. He sold 480 of them for the price he paid 600 pens, 100 pens at 10% higher rate than that at which he sold 480 pens, and the rest at the cost price. His profit percentage in the transaction is: Correct Answer 26.25%
Given:
A shopkeeper sold 480 pens at the cost price of 600 pens.
He sold 100 pens at a 10% higher rate than that at which he sold 480 pens.
Formula used:
Profit% = (S.P. - C.P.)/C.P. × 100
Where, S.P. = Selling price; and C.P. = Cost price
Calculation:
Let, the price of one pen = Rs. 1
The cost of 600 pens = Rs. 600
Also, the selling price of 480 pens = Rs. 600
∴ The selling price of each pen = 600/480 = Rs. 1.25
Also, 1.25 × (110/100) = 1.375
The total price of 100 pens = 1.375 × 100 = Rs. 137.50
He sold remaining pens at the cost price.
The remaining pens = 600 - (480 + 100) = 600 - 580 = 20
The selling price of 20 pens = 20 × 1 = Rs. 20
Total selling price = 600 + 137.50 + 20 = Rs. 757.50
Profit percentage = × 100 = 157.50/6 = 26.25%
∴ The profit percentage of the shopkeeper in the transaction is 26.25%