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Mathematics

Identical pens are bought at 10 for ₹ 80. If these pens are sold at 25% profit; the S.P. per pen is :

  1. ₹ 6

  2. ₹ 10

  3. ₹ 12

  4. ₹ 8

Profit, Loss & Discount

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Answer

C.P. of 10 pens = ₹ 80

C.P. of 1 pen = ₹ 8010\dfrac{80}{10} = ₹ 8

Profit = 25%

Profit%=ProfitC.P.×10025=Profit8×100Profit=25×8100=200100=2\text{Profit\%} = \dfrac{\text{Profit}}{\text{C.P.}} \times 100\\[1em] \Rightarrow 25 = \dfrac{\text{Profit}}{8} \times 100\\[1em] \Rightarrow \text{Profit} = \dfrac{25 \times 8}{100}\\[1em] = \dfrac{200}{100}\\[1em] = 2

As we know,

Profit=S.P. - C.P.\text{Profit} = \text{S.P. - C.P.}

Putting the values, we get

2=S.P.8S.P.=2+8S.P.=10\Rightarrow 2 = \text{S.P.} - 8\\[1em] \Rightarrow \text{S.P.} = 2 + 8\\[1em] \Rightarrow \text{S.P.} = 10\\[1em]

Hence,option 2 is the correct option.

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