If a man sells two articles at Rs125 each. On one he gains 10% while o...
Could get a answer by a short trick you have to learn the formula in these cases there is always loss first thing to remember then can use the formula x square / 100 so it's answer would be 10*10/100 = 1% loss
If a man sells two articles at Rs125 each. On one he gains 10% while o...
Loss Percentage on the Whole Transaction
To solve this problem, we need to calculate the overall gain or loss percentage on the sale of two articles. We are given that the man sells both articles at Rs125 each, and on one article he gains 10% while on the other article he loses 10%.
Calculating the Gain or Loss on Each Article
Let's calculate the gain or loss on each article:
1. Article with a 10% gain:
The selling price of this article is Rs125, and the man gains 10% on it. To find the cost price of the article, we can use the formula:
Cost Price = Selling Price / (1 + Gain Percentage/100)
Cost Price = 125 / (1 + 10/100)
Cost Price = 125 / 1.1
Cost Price ≈ 113.64
So, the cost price of the article is approximately Rs113.64.
2. Article with a 10% loss:
The selling price of this article is also Rs125, but the man incurs a loss of 10% on it. To find the cost price of the article, we can use the formula:
Cost Price = Selling Price / (1 - Loss Percentage/100)
Cost Price = 125 / (1 - 10/100)
Cost Price = 125 / 0.9
Cost Price ≈ 138.89
So, the cost price of the article is approximately Rs138.89.
Calculating the Overall Gain or Loss Percentage
Now, let's calculate the overall gain or loss percentage on the transaction:
Total Cost Price = Cost Price of 1st Article + Cost Price of 2nd Article
Total Cost Price = 113.64 + 138.89
Total Cost Price ≈ 252.53
Total Selling Price = Selling Price of 1st Article + Selling Price of 2nd Article
Total Selling Price = 125 + 125
Total Selling Price = 250
Overall Gain or Loss = Total Selling Price - Total Cost Price
Overall Gain or Loss = 250 - 252.53
Overall Gain or Loss ≈ -2.53
Since the overall gain or loss is negative (-2.53), it indicates a loss.
Calculating the Loss Percentage
To find the loss percentage, we can use the formula:
Loss Percentage = (Overall Gain or Loss / Total Cost Price) * 100
Loss Percentage = (-2.53 / 252.53) * 100
Loss Percentage ≈ -1%
Therefore, the loss percentage on the whole transaction is approximately 1%.
Hence, the correct answer is option (a) LOSS 1%.