1) By selling a pen for Rs.165. Mukti gains 10%. she had sold it for Rs.157.50 What percenatge would she have lost or gained? 2) By selling a watch for Rs 1275 .Javed lost 15%. At what price should he sell and make a profit of 10%

Q-1
Suppose the cost price of  pen is x.
Now for gain = 10%, we have;
selling price = x+x×10100 = 11x10 = Rs.165
11x = 165×10x = 165×1011 = 150
so cost price of pen = Rs.150
Now when she sold at Rs.157.50.
Then net gain = Rs.157.50 - Rs.150 = Rs.7.50
Therefore gain percentage = net gain×100cost price = 7.50×100150  = 5%

Q-2
Let the cost price be xSP = 1275RsLoss = CP-SPLoss% =(CP-SP)CP×100Loss% = 1515 = x-1275x×10015x =100x -127500or 85x =127500x=1500 Rs.So the CP is 1500Rs.Second case : profit of 10%so Profit = SP-CPlet SP = y, CP= 1500RsProfit% =SP-CPCP×10010 = y-15001500×10010 =y-150015 , 150 =y -1500    , y =1500+150 =1650Rs  So the selling price is 1650Rs.

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