Q.

5 pencils and 7 pens together cost Rs. 50 whereas 7 pencils and 5 pens together cost Rs. 46. Thus, the cost of one pencil and one pen respectively is:


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a

Rs.5, Rs. 3

b

Rs.3, Rs. 5

c

Rs.4, Rs. 4

d

Rs.2, Rs. 6 

answer is B.

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Detailed Solution

Given the cost of pen and pencil.
Let the cost of one pencil be Rs. x and the cost of one pen be Rs. y.
According to the first condition,
5x+7y=50………(1)
x=50-7y5
According to the second condition,
7x+5y=46…………..(2)
Substituting x=50-7y5 in equation (2),
7(50-7y)5+5y=46
350-49y+25y=230
y=5
Substitute the value of y to find the value of x,
x=50-755
x=50-355
x=3
Cost of one pencil =Rs. 3 and cost of one pen =Rs. 5,
Therefore, option (2) is correct.
 
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