by selling an article for rs.1200 the shopkeeper lost 10 percent .at what price he have sold it to gain 10percent.
.9 x = 1200
x = 1200/.9 = 1333.33
1.1x = 1333.33(1.1) = 1466.67
1466.67
What is statement
To find the price at which the shopkeeper would have sold the article to gain a 10% profit, we need to understand how the price is affected by a loss of 10%.
Let's assume the original price of the article, before any loss or gain, is denoted by 'x'.
When the shopkeeper sells the article for Rs. 1200, he incurs a loss of 10%. We can calculate this loss by multiplying the original price 'x' by 10% (or 0.10), and subtracting it from the original price 'x'.
Loss = x * 0.10
Selling price = x - Loss
According to the given information, the selling price is Rs. 1200. So we can set up the equation:
x - (x * 0.10) = 1200
Now we can solve for 'x' to determine the original price, which represents the cost price for the shopkeeper.
x - 0.10x = 1200
0.90x = 1200
x = 1200 / 0.90
x ≈ 1333.33
So, the original price (cost price) of the article is approximately Rs. 1333.33.
To calculate the selling price that would give the shopkeeper a 10% profit, we need to add 10% (or 0.10) of the cost price to the cost price.
Profit = x * 0.10
Selling price = x + Profit
Let's calculate the selling price:
Selling price = 1333.33 + (1333.33 * 0.10)
Selling price ≈ 1333.33 + 133.33
Selling price ≈ 1466.66
Therefore, to gain a 10% profit, the shopkeeper would have to sell the article for approximately Rs. 1466.66.