the cost price of 2 articles is same as the selling price of 3 articles . what is the loss or gain%?
a)50% loss b)331/3%gain c)25%loss d)331/3%loss e) none of this
any budy answer this
The seeling price of 5 article is the same as the cost price of 3 article the gain or lose is
To find the loss or gain percentage, we first need to understand the concept of cost price and selling price.
The cost price is the price at which the articles were originally bought or produced. The selling price is the price at which the articles are sold to the customers.
Let's assume the cost price of each article is 'C' and the selling price of each article is 'S'.
According to the given information, the cost price of 2 articles is the same as the selling price of 3 articles. Mathematically, this can be represented as:
2C = 3S
Now, let's solve this equation to find the relationship between the cost price and selling price.
Dividing both sides of the equation by 2, we get:
C = (3/2)S
Now, let's consider two scenarios to determine the loss or gain percentage:
1. Loss: If the selling price is less than the cost price, there is a loss. In this case, the cost price is greater than the selling price. Therefore, we can substitute the value of C in terms of S:
(3/2)S > S
Multiplying both sides by 2, we get:
3S > 2S
Subtracting 2S from both sides, we get:
S > 0
Since the selling price cannot be negative, we can conclude that there is no loss.
2. Gain: If the selling price is greater than the cost price, there is a gain. In this case, the cost price is less than the selling price. Therefore, we can substitute the value of C in terms of S:
(3/2)S < S
Multiplying both sides by 2, we get:
3S < 2S
Subtracting 2S from both sides, we get:
S < 0
Since the selling price cannot be negative, we can conclude that there is no gain either.
Therefore, the answer is e) none of this. There is neither a loss nor a gain.