Question

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18. The selling price of 10 articles is the same as the cost price of 12 articles. Find the gain %.
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Answer 1

Answer:

The gain% is 16.66%.

Step-by-step explanation:

Given:

Cost Price of 12 articles = Selling Price of 10 articles

Asked:

Gain % = ?

Solution:

Let the price of 1 article be x,

Then,

Selling Price = 10x

Cost Price = 12x

Profit = Selling Price - Cost Price

⇒ 12x - 10x

⇒ 2x

Profit = 2x

Profit % = $\frac{Profit}{Cost \ Price}$ × 100%

⇒ $\frac{2x}{12x}$ × 100%

⇒ $\frac{1}{6}$ × 100%

⇒ 16.66%

Profit % = 16.66%

Hence, the Gain % is 16.66%