Step-by-step explanation:
❅ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
- CP of 11 pencils = SP of 10 pencils
❅ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]
- Gain percent or loss percent
✻ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{CP\: of \: 1 \: pencil = x \: ( \: suppose}) [/tex]
[tex] \sf{CP \: of \: 11 \: pencils = 11x}[/tex]
[tex] \sf{SP \: of \: 10 \: pencils = 11x}[/tex] { Since CP of 15 articles is equal to SP of 12 )
[tex] \sf{SP \: of \: 1 \: pencil = \frac{11}{10} x}[/tex]
Here , SP > CP. So, He / she made a profit.
[tex] \boxed{ \sf{Profit = SP - CP}}[/tex]
⟿ [tex] \sf{ \frac{11}{10} x - x}[/tex]
⟿ [tex] \sf{ \frac{11x - 10x}{10}} [/tex]
⟿ [tex] \sf{ \frac{x}{10} }[/tex]
Now , Finding the profit percentage :
[tex] \boxed{ \sf{Profit\% \: = \frac{Profit}{CP} \times 100\%}}[/tex]
⟿ [tex] \sf{ \frac{ \frac{x}{10} }{x} } \times 100\%[/tex]
⟿[tex] \sf{ \frac{x}{10} \times \frac{1}{x} \times 100\%}[/tex]
⟿ [tex] \sf{ \frac{ \cancel{x}}{10} \times \frac{1}{ \cancel{x} } \times 100\%}[/tex]
⟿ [tex] \sf{ \frac{1}{10} \times 100\%}[/tex]
⟿ [tex] \boxed{ \sf{10\%}}[/tex]
[tex] \purple{ \boxed{ \boxed{ \tt{⇢Our \: final \: answer : 10\% \: \: profit}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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