Question
Vaibhav brought a pen for Rs.2000. He sold it to Ravi at
a loss of 20%. Ravi had to earn some profit, so he sold it to Vikas at 10% profit. If Vikas has to earn a profit of 10% from selling it, at what price (in Rs.) should he sell the pen?Solution
Cost price of the pen for Vaibhav = Rs.2000 Loss for Vaibhav = 20% So, selling price for Vaibhav = [(100 – 20)/100] × 2000 = Rs.1600 Hence, Cost Price for Ravi = Rs.1600 Profit earned by Ravi = 10% So, Selling price for Ravi = [(100 + 10)/100] × 1600 = Rs.1760 Hence, Cost Price for Vikas = Rs.1760 Profit to be earned by Vikas = 10% So, Selling Price for Vikas = [(100 +10)/100] × 1760 = Rs.1936 ∴  The price at which Vikas should sell the pen is Rs.1936.
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