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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