Rohit sold an article to Kartik at a profit of 2.5 % and Karthik sold this article to Manish at a loss of 10% Manish paid rupee 9.90 Karthik find the cost price of the article for Rohit
Answers
cost price of the article for Rohit = Rs 10.73
Step-by-step explanation:
Let say cost Price of article = C Rs
Rohit sold an article to Kartik at a profit of 2.5 %
=> Profit = (2.5/100)C = C/40 Rs
Selling Price = C + C/40 = 41C/40
Cost Price for Karthik = 41C/40 Rs
Karthik sold this article to Manish at a loss of 10%
=> Loss = (10/100)(41C/40) = 41C/400 Rs
Selling Price = 41C/40 - 41C/400
= (410C - 41C)/400
= 369C/400 Rs
369C/400 = 9.9
=> C = 3960/369
=> C =10.73
cost price of the article for Rohit = Rs 10.73
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The cost of article for rohit is 10.73
1.let x=CP for rohit
2.for selling price to kartik =(102.5/100)*x
3.for selling price to manish =(102.5/100)*(90/100)*x=9.9(given)
1.1 =102.5x/1000
1.1*1000 =102.5x
x=11000/102.5
=10.73(approx)
solving above equation we get x=10.73(approx)