Question

The cost price of 10 articles is equal to the selling
price of 9 articles. Find his gain or loss percent.​

Answer 1

Answer:

Given that the cost price of 10 articles is equal to the sale price of 9 articles.

We have to find the gain percent.

Solution:

Let the cost price of 1 article = Rs. 1

Then the cost price of 10 articles = 1 x 10 = Rs. 10

Since, given that,

Selling price of 9 articles = Cost price of 10 articles

Selling price of 9 articles = Rs. 10

Hence, we know the selling price of 9 articles.

Now we calculate the cost price of 9 articles.

Cost price of 9 articles = 1 x 9 = Rs. 9

Thus,

Profit made on the selling of 9 articles = Selling price of 9 articles - Cost price of 9 articles

Profit made on the selling of 9 articles = 10 - 9

Profit made on the selling of 9 articles = Rs. 1

% Profit or % Gain = ( Profit / Cost Price ) x 100 %

% Gain = ( 1 / 9 ) x 100 %

% Gain = 11.11 %

which is the required answer.

Hope it will help you. Thanks.

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Answer 2

$\sf Cp \: of \: 1 \: article \: is \: x$

$\sf Cp \: of \: 10 \: articles \: is \: 10x$

$\sf\orange \implies \red {Sp \: of \: 9 \: articles}$

$\sf Cp \: of \: 9 \: articles = 9x$

$\sf Profit \: = \: Sp - Cp$

$\sf\green \implies\blue {10x - 9x = x}$

$\sf Profit\% = \dfrac{Profit}{Cp} \times 100$

$\sf \pink\implies \purple {\dfrac{ \cancel x}{9 \cancel x} \times 100}$

$\sf\blue \implies \green {\dfrac{100}{9}}$

$\sf \red\implies\orange{ 11 \dfrac{1}{9}\%}$