Math, asked by giflinasha, 4 months ago

The cost price of 30 articles is equal to the
selling price of 25 articles. Find the loss or
gain percent.
2​

Answers

Answered by itscandycrush
9

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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