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 (10−6)=4pens=(2−1.5)xrupees so4pens=0.5xrupees⇒8pens=xrupees so 5pens=5x/8rupees i.e 5/8=5008=62.5% is the answer