SOLUTION: A publisher printed acertain number of book if He Has Printed 2000 copies more each copy would have cost of rupees 5 less. If he had printed 1600 copies less then each copy wo

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Question 1107938: A publisher printed acertain number of book if He Has Printed 2000 copies more each copy would have cost of rupees 5
less. If he had printed 1600 copies less then each copy would have cost him rupees 10 more . Find the number of copies printed and the cost of each book

Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Let N be the number of copies and p be the price for one single copy in the base scenario.

Then the condition gives you this system of 2 non-linear equations


Np = (N+2000)*(p-5),              (1)
Np = (N-1600)*(p+10),             (2)


It is equivalent to

Np = Np + 2000p -  5N - 10000,    (1')
Np = Np - 1600p + 10N - 16000.    (2')


Simplifying it, you get

 2000p - 5N = 10000,              (1'')
-1600p + 10N = 16000.             (2'')



This system is just a linear, and you can easily solve it by using the Elimination method:


 4000p - 10N = 20000              (1''')
-1600p + 10N = 16000              (2''')
-----------------------------Add the equations

 2400p       = 36000  ====>  p =  = 15.


Then from eq(2''')  10N = 16000 + 1600*15 = 40000  ====>  N = 4000.


Answer.  N= 4000,  p= 15.

--------------
To see many other similar solved problems, look into the lesson
    - Had they sold . . .
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Miscellaneous word problems",
where you can find tons of interesting problems.


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



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