Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens? a) 37.5% b) 62.5% c) 50% d) None of these

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nurankl84
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Jul 14th, 2006
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pooja

Jul 16th, 2006

let cost of 5pen+7 pencil+4 erasers be x and therefore for 6pen+14 pencils+8erasers comes out to be 3x/2
from this 5 pens cost will be 5x/8
therefore %age= 5x/8 divided by x and multiplied by 100= 62.5

mandar dindorkar

Sep 19th, 2006

Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid by
amal) i.e 5/8 = 500/8% = 62.5% is the answer

kirti

Sep 11th, 2011

40%....x%+1.5%=2.5%=100%
x=40%

Vijay

Sep 13th, 2011

Let 7 pencils & 4 erasers cost Rs y. and each pen costs Rs x.
=>cost of 14 pencils and 8 erasers=2y.
=>Amal paid: 5x+y & the other one paid 6x+2y
Now, (5x+y)/(6x+2y)=2/3(i.e, ration of sums paid by both of them)

=>y=3x;
so the %ge of pen price=(5x/8x)*100=62.5