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: