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riadik2000 [5.3K]
2 years ago
10

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

Mathematics
2 answers:
kirza4 [7]2 years ago
8 0

Answer:

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

Step-by-step explanation:

Rufina [12.5K]2 years ago
5 0

Step-by-step 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 =  \frac{11}{10} x}

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

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

⟿ \sf{ \frac{11}{10} x - x}

⟿ \sf{ \frac{11x - 10x}{10}}

⟿ \sf{ \frac{x}{10} }

Now , Finding the profit percentage :

\boxed{ \sf{Profit\% \:  =  \frac{Profit}{CP}   \times 100\%}}

⟿ \sf{  \frac{ \frac{x}{10} }{x} } \times 100\%

⟿\sf{ \frac{x}{10}  \times  \frac{1}{x}  \times 100\%}

⟿ \sf{ \frac{ \cancel{x}}{10}  \times  \frac{1}{ \cancel{x} }   \times  100\%}

⟿ \sf{ \frac{1}{10}  \times 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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