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CBSE Class 10 Answered

A trader bought a number of article for rupees 900 ,five articles were found damage. He sold each of the remaining articles at rupees 2 more than the what is paid for it. he got a profit for ₹80 on the whole transaction. find the number of article he brought.what values reflected by the trader by selling an article at rupee 2 to more than actual price?
Asked by anikettudu | 04 Feb, 2018, 09:23: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space number space of space articles space equals straight x
Let space the space cost space of space one space article equals Rs. space straight a
rightwards double arrow Cost space of space straight x space articles equals straight x cross times straight a equals 900
rightwards double arrow straight a equals 900 over straight x
According space to space given space information comma
left parenthesis straight x minus 5 right parenthesis cross times left parenthesis straight a plus 2 right parenthesis equals 900 plus 80
rightwards double arrow xa minus 5 straight a plus 2 straight x minus 10 equals 980
rightwards double arrow 900 minus 5 cross times 900 over straight x plus 2 straight x equals 990
rightwards double arrow 2 straight x minus 4500 over straight x equals 90
rightwards double arrow straight x minus 2250 over straight x equals 45
rightwards double arrow straight x squared minus 2250 equals 45 straight x
rightwards double arrow straight x squared minus 45 straight x minus 2250 equals 0
SOlve space the space equation space to space get space the space value space of space straight x. end style
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