A dishonest shopkeeper has two false balances. One balance wieghs 10% more while buying the goods and other weighs 10% less while selling the goods then what is his gain percent just by weighing?

1 Answer
Shwetank Mauria
Sep 17, 2017

Shopkeepers gain just by weighing is #22.22%#

Explanation:

Assume that theshopkeeper bought #x# units of goods i.e. actual weight of goods.

As the balance used to buy goods weighs #10%# more, he actually bought #x xx 110/100=1.1x# weight units i.e. although the shopkeeper paid for #x# units, he actully bought #1.1x# units by weight.

Now he has #1.1x# units of goods, but for selling he uses another balance, which actually measures #10%# less i.e. #1-0.10=0.9# units for each unit weight of goods sold.

So while selling #1.1x# becomes #(1.1x)/0.90=1.2222...# units.

Hence, shopkeepers gain just by weighing is #22.22%#

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