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Question

If 7 pens and 3 books cost Rs1395, while 5 pens and 4 books cost Rs1665. Find the cost of a book

A
360
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B
45360
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C
35350
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D
none of these
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Solution

The correct option is A 360
Let the cost of 1 pen be x
and the cost of 1 book be y
Then 7x+3y=1395-----(1)×4
5x+4y=1665(2)×3
4×(1) -------- 3×(2)
(28x+12y)(15x+12y)=55804995
13x=585
x=45
Putting x=45 in (1)
7×45+3y=1395
315+3y=1395
3y=1395315
3y=1080
y=360
Therefore Cost of one pen is Rs 45 and cost of one book is Rs 360


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