Let 'x' and 'y' be the average price of 13 books obtained from MN Distributors and remaining 2 books purchased from UV Publishers respectively.
It is given that he spent a total of Rs. 4500. Therefore,
13x+2y=4500.......(1)
It is also observed that one-sixth of the average price of all the 15 books purchased is equal to one-fifth of the average price of the 13 books obtained from MN Distributors.
=x=25...(2)
Form equation (1) and (2) we can say that
2y=1250.Let 'a' and 'b' be the price of two books purchased from UV Publishers. It is given that one-third of the price of one volume is equal to one-half of the price of the other.
Therefore
−...(3)
Also
2y=1250=a+b....(4)
From, equation (3) and (4) we can say that
a=750 and
b=500.
Hence, option C is the correct answer.