Undiscounted Shirt Price Calculation with Discount and Loss
Let the undiscounted price (original marked price) of the shirt be denoted by P.
Cost Price Calculation from Discount
The shirt was initially bought by the seller at a 10% discount. This means the seller's cost price (CP) was 90% of the undiscounted price (P): $CP = P \times (1 - 0.10) = 0.90P$
Selling Price to Cost Price Relation
The shirt was then sold to a friend at a 10% loss. The selling price (SP) is given as Rs. 729.00. The loss is calculated based on the cost price (CP). $SP = CP \times (1 - 0.10) = 0.90 \times CP$
Substitute the known SP:
$729 = 0.90 \times CP$
Solve for CP:
$CP = \frac{729}{0.90} = \frac{7290}{9} = 810$
The seller's cost price was Rs. 810.
Undiscounted Price Calculation
Now, we use the cost price (CP) found and the relationship from the initial purchase ($CP = 0.90P$):
$810 = 0.90P$
Solve for the undiscounted price (P):
$P = \frac{810}{0.90} = \frac{8100}{9} = 900$
The undiscounted price of the shirt was Rs. 900.
Important Questions from Profit & Loss (Notes)
- A person incurs a loss of 10% by selling a watch for Rs. 450. At what price should the watch be sold to earn 10% profit?
Two bikes were sold for a total of ₹ $1,50,000$. One bike was sold at $33\frac{1}{3}\%$ loss and the other at $20\%$ profit. The cost price of the first bike is equal to the selling price of the other bike. Find the over all loss.
What will be the profit percentage on selling an article at a certain price if there is $30\%$ loss on selling the article at $\frac{3}{5}$ of the selling price?
- A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be :
- A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
