Question

If the selling price of 30 articles is equal to the cost price of 25 articles,then the loss or gain percent is?

Answer 1

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

Answer 2

Explanation:

SP of 30 articles = CP of 25 articles = Rs. 1 (Let)

SP of 30 articles = Rs. 1

SP of 1 article = Rs. 1/30

CP of 25 articles = Rs. 1

CP of 1 article = Rs. 1/25

Since, CP > SP

Therefore, Loss = CP - SP

= Rs. 1/25 - 1/30

= Rs. 1/150

Loss% = Loss×100/CP

$= \frac{1 \times 100 \times 125}{150 \times 1} \\ = \frac{250}{3} \%$

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