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. If the selling price of 10 pencils is equal to the cost price of 12 pencils, the gain percent is 40% 18% 20% 25%​

User Coleman
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Answer: 8% 20% 25%​

According to the problem, the selling price of 10 pencils is equal to the cost price of 12 pencils. This means that the cost price of each pencil is less than the selling price.

Let:

Cost Price of 1 pencil = C

Selling Price of 1 pencil = S

Given:

Selling Price of 10 pencils = 10S

Cost Price of 12 pencils = 12C

Since the selling price of 10 pencils equals the cost price of 12 pencils, we can write:

10S = 12C

Now, let's find the profit:

Profit = Selling Price - Cost Price

Profit = 10S - 12C

To find the gain percent, we need to calculate the profit as a percentage of the cost price:

Gain Percent = (Profit / Cost Price) × 100

Substitute the value of profit from above:

Gain Percent = [(10S - 12C) / C] × 100

Now, we need to use the fact that the selling price of 10 pencils is equal to the cost price of 12 pencils:

10S = 12C

Solve for S:

S = (12C) / 10

S = 6C/5

Now, substitute this value back into the gain percent equation:

Gain Percent = [(10 * (6C/5) - 12C) / C] × 100

Let's simplify this expression:

Gain Percent = [(60C/5 - 12C) / C] × 100

Gain Percent = [(12C - 12C) / 5C] × 100

Gain Percent = (0 / 5C) × 100

Gain Percent = 0%

So, the gain percent is 0%.

Step-by-step explanation:

User Erikka
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