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by R.k91 » Sat Jul 21, 2012 12:15 am
Zahid sells a watch to Abrar at a gain of 10% and Abrar sells it to Suhail at a gain of 5%. If suhail has to pay Rs.462 for it, the cost price of the watch for Zahid is???/
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by niketdoshi123 » Sat Jul 21, 2012 1:05 am
R.k91 wrote:Zahid sells a watch to Abrar at a gain of 10% and Abrar sells it to Suhail at a gain of 5%. If suhail has to pay Rs.462 for it, the cost price of the watch for Zahid is???/
Let the cost price of the watch for Zahid be x
Zahid sells the watch to Abrar at 10% profit = 1.10*x
Abrar sells the watch to Suhail at 5% profit = 1.05*1.10x = 462
=> x = 462/(1.05*1.10) = 400
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by Anurag@Gurome » Sat Jul 21, 2012 2:48 am
R.k91 wrote:Zahid sells a watch to Abrar at a gain of 10% and Abrar sells it to Suhail at a gain of 5%. If suhail has to pay Rs.462 for it, the cost price of the watch for Zahid is???/
Let us assume cost price of the watch for Zahid is Rs. 100P
Hence, cost price for Abrar = (100P + 10% of 100P) = (100P + 10P) = 110P
Hence, cost price for Suhail = (110P + 5% of 110P) = (110P + 5.5P) = 115.5P

So, 115.5P = 462
--> 100P = 100*462/115.5 = (1000*462)/(11*105) = (1000*42)/105 = (1000*2)/5 = 200*2 = 400
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