Question

Goods are purchased for $1500. If one fifth of the goods sold at a profit of 5% and the remaining four-fifth of the goods at a profit of 10%, find the net profit percentage.   ​

Answer 1

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Answer 2

➠Question:-

Goods are purchased for $1500. If one fifth of the goods sold at a profit of 5% and the remaining four-fifth of the goods at a profit of 10%, find the net profit percentage.   

➠Solution:-

Cost price of one-fifth of the goods is

=  1/5 × 1500

=  300

Selling price of one-fifth of the goods (at 5% profit) is 

=  (100 + 5)% of 300

=  105% of 300

=  1.05 × 300

=  315

Cost price of remaining four-fifth of the goods is

=  4/5 × 1500

=  1,200

Selling price of the remaining four-fifth of the goods (at 10% profit) is 

=  (100 + 10)% of 1200

=  110% of 1200

=  1.10 × 1200

=  1,320

Selling price of the total goods

=  315 + 1,320

=  1,635

Finding Net Profit :

⇛Net profit  =  S.P of total goods - C.P of total goods

⇛Net Profit  =  1635 - 1500

⇛Net Profit  =  135

Finding Net Profit Percentage :

⇛Net profit %  =  (Net profit/Cost price) ⋅ 100 %

⇛Net profit %  =  (135/1500) × 100 %

⇛Net profit %  =  9 %