Answer :

Let the price of two hundred pages notebook be ‘x’ and price of hundred pages book be ‘y’.


According to the question,


Raju bought 7 notebooks of two hundred pages and five of hundred pages for 107 rupees


7x + 5y = 107 ... (1)


Joseph bought five notebooks of two hundred pages and seven of hundred pages, for 97 rupees


5x + 7y = 97… (2)


Equating (1) and (2)


7x + 5y = 107


5x + 7y = 97


Multiply Equation (1) by 7 and equation (2) by 5


Then, Subtract equation (2) from (1)




x = 11


Put x = 11 in Equation (3)


49 × 11 + 35 y = 749


539 + 35y = 749


35y = 749 – 539


35y = 210



y = 6


Hence, price of two hundred pages notebook is 11rupees and price of hundred pages notebook is 6 rupees.


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