i bought 5 pens, 7 pencils and 4 erasers. rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was 50% more than what i had paid. what percentage of the total amount spent by me was spent on the pens?
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the total cost was 150% of the money he gave.
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Answer:
Step-by-step explanation:
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..1
While Rajan pay (6n+14p+8r)=1.5A..2
Now multiply 1 by 2
we get
⇒(10n+14p+8r)=2A...3
Comparing 2 and 3 We see that while Rajan gets 4pen less ,he pays 0.5A unit less.
Thus A = the price of 8 pen
∴the percent of the total price paid by me initially which was used for pens=
5 /8 *100 =62.5
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