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?
15%
The problem involves determining the additional discount needed on an already discounted price to achieve a specific net selling price.
Step 1: Calculate the initial discounted price.
The list price of the article is ₹5,000, and a discount of 70% is offered. The discounted price is:
The discount = 70% of ₹5,000 = \(0.7 \times 5000 = ₹3,500\).
So, the initial discounted price = ₹5,000 - ₹3,500 = ₹1,500.
Step 2: Determine the additional discount required.
The net selling price must be ₹1,275. To find the additional discount needed, we calculate:
Additional discount = Initial discounted price - Net selling price = ₹1,500 - ₹1,275 = ₹225.
Step 3: Calculate the additional discount percentage.
The additional discount percentage can be calculated as follows:
\[\text{Additional Discount \%} = \left(\frac{\text{Additional Discount}}{\text{Initial discounted price}}\right) \times 100\]
\[\text{Additional Discount \%} = \left(\frac{225}{1500}\right) \times 100 = 15\%\]
Thus, the additional discount percentage required is 15%.
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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?
