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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 per cent of the total amount paid by me was paid for the pens?
Let the cost of pen, pencil and eraer be x,y,z respectively
5x+7y+4z = A
6x+8z+14y = 3A/2
4x + 16/3 z + 28/3 y = A
Comparing two equations
5x+7y+4z = 4x+16/3 z + 28/3 y
x = 7/3 y + 4/3 z
3x = 7y+4z
Now required percentage = $$\frac{5x}{5x+7y+4z}\times100=\frac{5x}{5x+3x}=62.5$$%
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