Bikash purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5 penss at 50/3% loss. If he received Rs. 625 in total, find the cost price of the pen.

Bikash purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5 pens at 50/3% loss. If he received Rs. 625 in total, find the cost price of the pen.

 Let the buying cost of each pen be x.

Given

1. Total amount received after selling is 625.

1. 5 pens sold at 25% profit. I.e. total selling amount of each pen is (x+x/4)

1. 5 pens sold at 50/3% loss, i.e. total selling amount of each pen is (x-x/6).

1. From point-2, selling price of each pen(with profit) is

From above points 1,2 & 3.

625 = 5(x+x/4) + 5(x-x/6) = 10x + 5(x/4-x/6)

625 = 10x + 5x/12

625*12 = 125x

5*12 = x.

√ Therefore price of each pen is 60.

Verify.

(x+x/4) = 60+60/4 = 75. Therefore selling price of 5 pens with profit is 75*5 = 375.

2. From point-3, selling price of each pen(with loss) is

(x-x/6) = 60–60/6 = 50. Therefore selling price of 5 pens at loss is 5*50 = 250.

Hence total selling price is 375+250 = 625.