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A shopkeeper earns a profit of ?2 by selling one pen and incurs a loss of 50 paise per pencil while selling pencils of her old stock.

1. In a particular month she incurred a loss of ?10

In this period , she sold 45pens .how many pencils

did she sell

2. In the next month , she earns neither profit nor loss. If she sold 80 pens, howany pencils did she sell.

$\left(i\right)OverallProfitOrLoss=-10\phantom{\rule{0ex}{0ex}}45PensmeansProfitofRs90\phantom{\rule{0ex}{0ex}}NowNo.ofPencilsSold\phantom{\rule{0ex}{0ex}}PriceOfPencils\Rightarrow 90-(-10)=Rs100\phantom{\rule{0ex}{0ex}}SoSheSoldPencilsAtalossofrs100\phantom{\rule{0ex}{0ex}}Noofpencils=\frac{100}{0.50}=200\phantom{\rule{0ex}{0ex}}SoSheSold200pencils.\phantom{\rule{0ex}{0ex}}\left(ii\right)ProfitOrLossIncurred=0\phantom{\rule{0ex}{0ex}}Now80pensmeansprofitofRs160\phantom{\rule{0ex}{0ex}}NowCostPriceOfPencils=160-0=160\phantom{\rule{0ex}{0ex}}Noofpencils=\frac{160}{0.50}=320\phantom{\rule{0ex}{0ex}}So,SheSold320pencils.$

Regards

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