. I bought 5 pens 7 pencils and 4 erasers Rajan bought 6 pens
8 erasers and 14 pencils for an amount which was half more what I had paid. What percent of the total amount paid by me was paid for the pens?
A: 37.5%
B: 62.5%
C: 50%
D: None of these
Best Answer
Explanation
Let the total amount paid by me be A.
And the price of pen, pencil, eraser be 'a','b','c'.
So the total price paid by me will be 5a+7b+4c=A.
Similarly the price paid by Rajan is half more than mine so the total price paid by Ranjan is
(1+1/2)A= 3/2A
And the price of pen, pencil, eraser be 'a','b','c'.
So the equation of the price Ranjan paid will be given by the equation
6a+8c+14b=(3/2)A
On rewriting 6a as 10a-4a then we get the equation
10a+8c+14b-4a=(3/2)A
Now on simplifying we get
2(5a+4c+7b)-4a=(3/2)A
On further simplifying we get
2A - 4a =3/2A
2A -3/2A=4a
A/8 =a
Now the cost of 5pen will be in 5/8A.
Now to calculate the percentage we have
5/8A×100
8/A
5/8×100
=62.5%
Final Answer
The correct option is option B.62.5%
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