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 articles he bought.
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Step-by-step explanation:
let the total no of aarticles be n
let the value of one article ne a
given:
na=900
a=900/n
(n-5)*(a+2)=980
na-5a+2n=990
900-5(900/n)+2n=990
2n-4500/n=90
n2-2250=45n
n2-45-2250=0
n(n-75)30(n-75)
(n+30) (n-75)
n=-30 n=75
sine the no of arrticles cannot be in negative
the answer is 75
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