Calculating Equivalent Discount and Selling Price
The problem involves finding the final selling price (SP) and the equivalent single discount percentage after applying two successive discounts to a marked price (MP).
Given:
- Marked Price (MP) = ₹2,000
- First Discount = 20%
- Second Discount = 10%
Calculating the Selling Price (SP)
First, calculate the price after the initial 20% discount:
- Price after 1st Discount = MP \(\times\) (1 - Discount1 Percentage)
- Price after 1st Discount = ₹2,000 \(\times\) (1 - 0.20) = ₹2,000 \(\times\) 0.80 = ₹1,600
Next, apply the second 10% discount to the reduced price:
- Selling Price (SP) = Price after 1st Discount \(\times\) (1 - Discount2 Percentage)
- SP = ₹1,600 \(\times\) (1 - 0.10) = ₹1,600 \(\times\) 0.90 = ₹1,440
Calculating the Single Equivalent Discount Percentage
First, find the total discount amount:
- Total Discount Amount = MP - SP
- Total Discount Amount = ₹2,000 - ₹1,440 = ₹560
Now, calculate the single equivalent discount percentage:
- Equivalent Discount (%) = (Total Discount Amount / MP) \(\times\) 100
- Equivalent Discount (%) = (₹560 / ₹2,000) \(\times\) 100
- Equivalent Discount (%) = 0.28 \(\times\) 100 = 28%
Final Answer
The single equivalent discount is 28%, and the final selling price is ₹1,440.
Similar Questions
- Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:
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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?
