A shopkeeper purchased a sewing machine for rs1200. He sells it at discount of 10% and still makes a profit of 8%. Find the selling price and then the cost price.
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Answer :
Given : A shopkeeper purchased a sewing machine for Rs.1200 and sells it a discount of 10 % and making profit of 8 % .
Cost price of sewing machine = Rs . 1200
So,
Shopkeeper sell a sewing machine after making 8 % profit = 1200 + 8% of 1200 = 1200 + 1200 × 8100 = 1200 + 96 = Rs . 1296
And
Selling price of sewing machine = x , So
x - 10 % of x = 1296
⇒x − 10 x100 = 1296⇒x − x10 = 1296⇒10x − x10 = 1296⇒9 x10 = 1296⇒x = 1296 ×109⇒x = 144 ×10⇒x = 1440
So,
Selling price of sewing machine = Rs . 1440 ( Ans )
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