a shopkeeper earns a profit of rs 5 by selling a notebook and incurs a loss of 50 paise per pencil and eraser while selling these from old stock on a particular day she earns a profit of 30 . If she sold 10 notebooks and the numbers of pencil and erasers she sold are in the ratio 6:4 find the number of pencil and eraser sold on that day
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Step-by-step explanation:
By selling a pen gain is Rs.2
and by selling pencils, he loses 50 paise
and an eraser, he loses 15 paise
On one day, he gains =Rs.10
On that day he sold 10 pens and pencils and erasers in the ratio of 7:10
On ten pens, his gain =10×2=Rs.20
loss on pencils and erasers =Rs.20−Rs.10=Rs.10=1000 paise
the Ratio in pencil and eraser =7:10
Let the number of pencils =7x, then eraser =10x
7x×50+10x×15=1000
⇒350x+150x=1000
⇒500x=1000
⇒x=2
Number of pencils =7×2=14
and number of erasers =10×2=20
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