# . 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

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%

The correct option is option B.62.5%