shopkeeper earns a profit of Rs 2 by selling a set of sketch pens and incurs a loss of 50 paise per eraser while selling erasers of his old stock. In a particular month he incurs a loss of Rs 5. In this period, he sold 25 sets of sketch pens. How many erasers did he sell in this period? In the next month he earns neither profit nor loss. If he sold 40 sets of sketch pens, how many erasers did he sell?
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Answer:
20
Step-by-step explanation:
By selling a pen gain is Rs.2
and by selling a pencils, he loses 50 paise
and an eraser, he loses 15 paise
On one day, he gain =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
Ratio in pencil and eraser =7:10
Let number of pencils =7x, then eraser =10x
7x×50+10x×15=1000
⇒350x+150x=1000
⇒500x=1000
⇒x=2
Numbe rof penciles =7×2=14
and number of erasers =10×2=20
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