A fair-price shopkeeper takes 10% profit on his goods. He lost 20% goods during the theft. What is his loss percent?

A fair-price shopkeeper takes 10% profit on his goods. He lost 20% goods during the theft. What is his loss percent?

Explanation

Let the buyer has 100 items and each costs  1 Rs

The cost price of 100 items=100Rs

Profit percentage =10

So the selling price of one item=1+10/100
                                                        =1.1
No of items left after theft =100−20

                                                 =80

the selling price of 80 items =80×1.1

                                                    =88Rs
Loss % = (100)-(80)/100 (100) =12%
****
ND10-12-2022