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:) The cost price of 11 pencils is equal to the selling price of 10 pencils. Find the gain

or loss per cent.​

2 Answers

13 votes

Answer:

You are losing 9 percent for every cent or 0.09cents per cent.

Explanation:

User Svinjica
by
3.9k points
12 votes

Explanation:


\underline{ \underline{ \text{Given}}} :

  • CP of 11 pencils = SP of 10 pencils


\underline{ \underline{ \text{To \: find}}}:

  • Gain percent or loss percent


\underline{ \underline{ \text{Solution}}} :


\sf{CP\: of \: 1 \: pencil = x \: ( \: suppose})


\sf{CP \: of \: 11 \: pencils = 11x}


\sf{SP \: of \: 10 \: pencils = 11x} { Since CP of 15 articles is equal to SP of 12 )


\sf{SP \: of \: 1 \: pencil = (11)/(10) x}

Here , SP > CP. So, He / she made a profit.


\boxed{ \sf{Profit = SP - CP}}


\sf{ (11)/(10) x - x}


\sf{ (11x - 10x)/(10)}


\sf{ (x)/(10) }

Now , Finding the profit percentage :


\boxed{ \sf{Profit\% \: = (Profit)/(CP) * 100\%}}


\sf{ ( (x)/(10) )/(x) } * 100\%


\sf{ (x)/(10) * (1)/(x) * 100\%}


\sf{ \frac{ \cancel{x}}{10} * \frac{1}{ \cancel{x} } * 100\%}


\sf{ (1)/(10) * 100\%}


\boxed{ \sf{10\%}}


\purple{ \boxed{ \boxed{ \tt{⇢Our \: final \: answer : 10\% \: \: profit}}}}

Hope I helped ! ♡

Have a wonderful day / night ツ

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User Jenko
by
4.7k points