The cost price of 30 articles is equal to the
selling price of 25 articles. Find the loss or
gain percent.
2
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★ Given:-
- C.P of 30 article = S.P of 25 article
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★ To Find:-
- Gain or Loss percent
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★ Formula/Concept Used:-
- When C.P. < S.P , Profit is present
- Profit = S.P. - C.P.
- Profit % = ( Profit ÷ C.P. ) × 100
- C.P. of 1 article = Total cost - number of article
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★ Solution:-
✐ Finding C.P. of each article-
Let the C.P. of 30 articles be x
C.P. of 1 article = x/30
✐ Finding S.P. of each article-
According to question
C.P of 30 article = S.P of 25 article = x
S.P. of 25 article = x/25
✐ Finding whether here is loss or gain-
Here,
x/25 is greater than x/30
Hence, S.P. > C.P.
So, Here is Gain ( Profit ).
✐ Finding Gain-
Gain ( Profit ) = S.P. - C.P.
= x/25 - x/30
= (6x - 5x)/150
= x/150
✐ Finding gain percent-
Gain(Profit) %
= ( Profit ÷ C.P. ) × 100
= ( (x/150) ÷ x/25 ) × 100
= ( x/150 × 25/x ) × 100
= ( 25/150 ) × 100
= (1/6) ×100
= 100 ÷ 6
= 16.6666...
= 16.67%
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★ Answer:-
▪︎Gain % of each article is 16.67%.(approx.)
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