The cost price of 30 articles is equal to the selling price of 25 article.find the loss or gain percent.
Answers
Answer:
LET CP OF ONE ARTICLE BE x
THEN CP OF 30 ARTICLE=30X
A/Q
CP OF 30 ARTICLE=SP OF 25 ARTICLE
30X=SP OF 25 ARTICLE
∴SP OF 1 ARTICLE=30X/25
=6X/5
CP OF ONE ARTICLE = X
SP OF 1 ARTICLE=6X/5
SP>CP
PROFIT=SP-CP
= 6X/5-X
=X/5
PROFIT%=PROFIT/CP*100
=X/5*1/X*100
=20
∴PROFIT=20% ANS
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Answer:
1st answer.
LET CP OF ONE ARTICLE BE x
THEN CP OF 30 ARTICLE=30X
A/Q
CP OF 30 ARTICLE=SP OF 25 ARTICLE
30X=SP OF 25 ARTICLE
∴SP OF 1 ARTICLE=30X/25
=6X/5
CP OF ONE ARTICLE = X
SP OF 1 ARTICLE=6X/5
SP>CP
PROFIT=SP-CP
= 6X/5-X
=X/5
PROFIT%=PROFIT/CP*100
=X/5*1/X*100
=20
∴PROFIT=20% ANS.
2nd answer.
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 30 * 1 = $20
The selling price of 25 articles = cost price of 30 articles = $30.
Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 30 - 25 = $5.
As the profit is in the negative, the merchant has made a loss of $5.
Therefore, % gain = gain/cp * 100
%gain = 5/25 * 100 = 20% gain
Step-by-step explanation:
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