Sandeep purchased 100 articles at rate Rs 10 per article.If he sold 50% articles at 20% profit while 50% of remaining at 10% profit 20% of remaining at 10% loss and rest at 20% loss.Find his loss or profit percent in entire transaction.
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Sandeep purchased 100 articles at rate Rs 10 per article.If he sold 50% articles at 20% profit while 50% of remaining at 10% profit 20% of remaining at 10% loss and rest at 20% loss.Find his loss or profit percent in entire transaction.
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He gained 10% on 1 article
and lost 10% on another article
for the first article, if he gained 10% that means,
Cost + Profit = Selling Price
100% + 10% = 110% ( as we know profit is 10% of Cost)
Now we know, selling Price is 1000
subsituting 1000 in place of selling price and taking cost as ‘x’
100%+ 10% =110%
x + 0.10x = 1000
1.10x = 1000
x = 1000/1.10
so, profit = 0.10x = 0.10*1000/1.10 = 90.9090909
Now repeat same process for loss
100% - 10% = 90%
taking cost as x
x - 0.10x = 1000
0.90x = 1000
x = 1000/0.90
so loss = 0.10x = 0.10*1000/0.90 = 111.111111
Finally as u can see loss is more than profit
net loss will be 111.111111 - 90.9090909 =20.2020201
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Step-by-step explanation:
120 percent it is the answer
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