A pen set having two pens costs amount 250.If it is known one pen cost 3/2 times that of the other,find the cost of each pen separately.
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The cost of 2 pens and one pencil is Rs. 35. The cost of 3 pens and 4 pencils is Rs. 65. What is the cost of one pen?
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Correct option is C)
Solution:- (C) 15
Let the cost of pen and pencil be x and y
cost of 2 pens and one pencil is Rs. 35 (Given)
∴ 2x+y=35 ⟶eq
n
(i)
cost of 3 pens and 4 pencils is Rs. 65
∴ 3x+4y=65 ⟶eq
n
(ii)
Multiplying eq
n
(i) by 4, we get
8x+4y=140 ⟶eq
n
(iii)
Subtracting eq
n
(ii) from (iii), we have
8x+4y−3x−4y=140−65
⇒ 5x=75
⇒ x=15
Hence, the cost of 1 pen is Rs. 15.
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100, 150 Rs
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