Marked Price Calculation Strategy
The problem asks for the original marked price, denoted as \(x\). We are given the final selling price after a discount and VAT application. We need to reverse these steps to find \(x\). The steps involve calculating the price before VAT and then the price before the discount.
Determine Price Before VAT
The selling price is ₹378, which includes a 44% VAT charged on the discounted price. Let the discounted price be \(D\). The formula is:
Selling Price = \(D \times (1 + \text{VAT Rate})\)
Substituting the given values:
\(378 = D \times (1 + 0.44)\)
\(378 = D \times 1.44\)
Now, solve for \(D\):
\(D = \frac{378}{1.44}\)
\(D = 262.5\)
So, the discounted price was ₹262.5.
Calculate Original Marked Price (\(x\))
The shopkeeper offered a 65% discount on the marked price (\(x\)) to get the discounted price \(D\). The relationship is:
Discounted Price = Marked Price \(\times (1 - \text{Discount Rate})\)
Substituting the values:
\(262.5 = x \times (1 - 0.65)\)
\(262.5 = x \times 0.35\)
Now, solve for \(x\):
\(x = \frac{262.5}{0.35}\)
\(x = 750\)
Therefore, the original marked price \(x\) is ₹750.
Similar Questions
- Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:
- An article was sold for ₹2,500. Had a discount of 10% been offered, a profit of 12.5% would have been made. What was the cost price?
In a clearance sale of electronic items, an item whose marked price was ₹12,225 is now sold for ₹10,756. d% is the discount percentage on the item. The value of d is:
The list price of an article is ₹5,000 and a discount of 70% is offered on the list price. What additional discount per cent on the already discounted price must be offered to a customer to bring the net selling price to ₹1,275?
The cost price of a toy is ₹210. What should be its marked price so that, after a discount of 5%, the shopkeeper gains 90%?
A scheme like 'Buy 5, Get 6' on the same kind of articles with the same marked price offers a _______ discount.
- The list price of an article is ₹5,100 and a discount of 32% is offered on the list price. What additional discount per cent on the already discounted price must be offered to a customer to bring the net selling price to ₹1,734?
Two successive discounts of 10% and 5% are equivalent to a single discount of______.
- A product, whose MRP is ₹1,590, is sold for ₹835 by a wholesale shop owner. What is the percentage of discount given by him (nearest to its integer)?
Two successive discounts of 40% and 60% on a deal equivalent to a single discount of:
Important Questions from Discount and MP
- Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:
- A shopkeeper offers the following three schemes. Which scheme has the maximum discount percent?
I. Two successive discounts of 15% and 20%.
II. Buy 4 get 2 free.
III. Buy 6 get 4 free - A shopkeeper is given a 10% trade discount and a 5% scheme discount (free units). On purchasing 100 units priced at ₹50 each, what is the trade discount amount?
- What is the equivalent single discount for successive discounts of 20% and 10%?
- Rahul buys a box of pens (listed price of ₹900) with a trade discount of 30%. What is the net price?
