A shopkeeper sells an item at 12.5% profit and uses a false weight of 1100 grams instead of 1200 grams. Find his overall profit percentage.
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Step-by-step explanation:
profit percentage=100+12.5=112.5
s.p=selling price
c.p=cost price
c.p×112.5/100=s.p
s.p/c.p=112.5/100
s.p/c.p=9/8
assume s.p=9x ,c.p=8x per gram
1200 gram of s.p= 1200×9x=10800x
1100 gram of c.p =1100×8x=8800x
profit=10800x-8800x=2000x
in percentage=2000x/8800x ×100=22
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