A shopkeeper sells two items at $48 each. He gains 25% on the cost price for one item and loses 20% on the cost price for the other item. Express his net profit or loss as a percentage of the total cost price of the two items?

Question

5489 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-16T08:43:58

#2.44%# loss

An item selling for #48# at a #25%# gain means that the cost price #(x)#was less.

#x/100 = 48/125" "(larr"money")/(larr"percent")#

#x = (48xx100)/125 = $38.40#

An item selling for #48# at a #20%# loss means that the cost price #(x)#was more.

#x/100 = 48/80" "(larr"money")/(larr"percent")#

#x = (48xx100)/80 = $60#

Total cost price = #$38.40 +$60 = #98.40#

Total selling price =# $48+$48 = $96#

Total loss = #$98.40-$96 = $2.40#

#2.40/98.40 xx 100%

#=2.44%# loss