Q. 64.1( 32 Votes )

The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 ruppees. Find the cost of 1 book and 2 pens.

Answer :

Let the cost of one book be 'x' rupees and cost of one pen be 'y' rupees.


Cost of 6 books and 7 pens = 79 Rs


6x + 7y = 79 eq.[1]


Cost of 7 books and 5 pens = 77 Rs


7x + 5y = 77 eq.[2]


Multiplying eq.[1] by 5 both side, and Multiplying eq.[2] by 7 both side, we get


30x + 35y = 395 eq.[3]


49x + 35y = 539 eq.[4]


Subtracting eq.[3] from eq.[4], we get


49x + 35y - 30x - 35y = 539 - 395


19x = 144



Using this in eq.[1]




864 + 19×7y = 79×19


19×7y = 79×19 – 864



y = 5


& 6x + 7y = 79


6x + 35 = 79


6x = 44


x = 7


Hence, the cost of 1 pen & 2 books = Rs 1(y) + 2x


= 5 + 14 = Rs 19.


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