Question

# 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 %
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B
62.5 %
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C
50 %
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D
None of these
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Solution

## The correct option is B 62.5 %Let one pen, one pencil and one eraser cost = n, p, r units Let the amount paid by me = A∴IPay=(5n+7p+4r)=A..1While Rajan pay (6n+14p+8r)=1.5A..2Now multiply 1 by 2we get ⇒(10n+14p+8r)=2A...3Comparing 2 and 3 We see that while Rajan gets 4pen less ,he pays 0.5A unit less.Thus A = the price of 8 pen ∴thepercentofthetotalpricepaidbymeinitiallywhichwasusedforpens=58×100=62.5

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