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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 C 62.5%
Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2×xrupees
According to the question
6 pens + 14 pencils + 8 erarsers =1.5×xrupees
so (106)=4pens=(21.5)xrupees
so4pens=0.5xrupees8pens=xrupees
so 5pens=5x/8rupees
i.e 5/8=5008=62.5% is the answer

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