By selling a sofa set at 85% of the labelled price, Apex furniture earned a profit of 13.33% when it sold the sofa set for Rs 17,000.What will be the profit percentage if the discount is not offered?
To find the profit percentage when no discount is offered, we need to calculate the actual cost and the selling price.
Let's assume the labeled price of the sofa set is Rs X.
According to the given information, Apex furniture sold the sofa set at 85% of the labeled price, which is 85/100*X = 0.85X.
We also know that Apex furniture earned a profit of 13.33% when it sold the sofa set for Rs 17,000.
Therefore, the selling price (0.85X) is equal to 100% + 13.33% = 113.33% of the actual cost.
So we can set up the equation:
0.85X = 17,000 * 113.33/100
Simplifying this equation:
0.85X = 19236.05
X = 19236.05 / 0.85
X ≈ 22628.88
Hence, the labeled price of the sofa set is approximately Rs 22,628.88 when no discount is offered.
Now, let's calculate the profit percentage without the offered discount:
Profit = Selling Price - Actual Cost
Profit = 17,000 - 22,628.88
Profit ≈ -5,628.88
The profit is negative, meaning a loss of Rs 5,628.88.
To find the loss percentage, we need to calculate the loss percentage over the actual cost:
Loss percentage = (Loss / Actual Cost) x 100
Loss percentage = (5,628.88 / 22,628.88) x 100
Loss percentage ≈ 24.88%
Therefore, if no discount is offered, Apex furniture will incur a loss of approximately 24.88%.
To calculate the profit percentage without the discount, we need to first determine the cost price of the sofa set. We can do this by using the information that Apex furniture earned a profit of 13.33% when it sold the sofa set for Rs 17,000.
Let's calculate the cost price of the sofa set:
Profit = Selling Price - Cost Price
Profit = 13.33% of Cost Price (in decimal form)
Profit = 0.1333 * Cost Price
We know that the selling price is Rs 17,000, so we have:
Profit = 0.1333 * Cost Price
17,000 = 0.1333 * Cost Price
Now, let's solve for the cost price:
Cost Price = 17,000 / 0.1333
Cost Price ≈ Rs 127,530.08
So, the cost price of the sofa set is approximately Rs 127,530.08.
Now we can calculate the profit percentage without the discount:
Profit = Selling Price - Cost Price
Profit = 17,000 - 127,530.08
Profit ≈ -110,530.08
Since the profit is negative, it means there is a loss rather than a profit. To calculate the loss percentage, we use the formula:
Loss percentage = (Loss / Cost Price) * 100
Loss percentage = (-110,530.08 / 127,530.08) * 100
Loss percentage ≈ -86.69%
Therefore, if the discount is not offered, Apex furniture will incur a loss of approximately 86.69%.