6 pens and 14 exercise books cost Rs.162. 5pens and 8 exercise books
cost Rs.102. The ratio of cost of 1 pen to that of 1 exercise book is :
a) 10 : 3
b) 2 : 3
c) 3 : 2
d) 5 : 6
e) None of these

1 Answer

Answer :

Let cost of 1 pen be Rs.x and that of 1 exercise book be Rs.y.
Then 6x +14 y = 162 =>3x + 7y =81……..(1)
5x + 8y =102…………………………………………..(2)
(1)× 5 – (2) × 3 =>11y=99=>y=9.Putting y=9 in equation (1),we get : x = 6
x : y =6 : 9 =2 : 3
Answer: b)

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