Find the Cost Price an Article
An article sold at 50% profit. If it's cost price and selling price are increased by Rs. 32 and Rs.12 respectively. The percentage of profit becomes 10%. Find the cost price of an article?
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Let S be original Sale Price and C be original Cost Price.
Profit of 50% can be given as follows:
(S - C)/C = 50/100
Solving this equation, we get the value of S as 3C/2 ----- (i)
In the next scenario we have the following equation:
[(S + 12) - (C + 32)] / (C + 32) = 10/100
Solving this we get the following equation:
10S - 168 = 9C -------- (ii)
Putting the value of S found in (i), we get C = 28
So the cost price of the article will be Rs. 28
Profit of 50% can be given as follows:
(S - C)/C = 50/100
Solving this equation, we get the value of S as 3C/2 ----- (i)
In the next scenario we have the following equation:
[(S + 12) - (C + 32)] / (C + 32) = 10/100
Solving this we get the following equation:
10S - 168 = 9C -------- (ii)
Putting the value of S found in (i), we get C = 28
So the cost price of the article will be Rs. 28
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