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.
Important Questions from Discount and MP
A single discount equivalent to two successive discounts of 15% and 25% is:
Ramesh purchases 75 articles for ₹ 10800 and sells them at a loss equal to the selling price of 5 articles. What will be the selling price of one article?
A TV was available for Rs. 14,500. The price came down to Rs. 11,890 during the Diwali sale. What is the percentage discount?
A shopkeeper marks the marked price of an article 30% more than its real price and offers 10% discount. What is the gain percentage?
An article was sold for Rs. 1,215 after giving a discount of 19%. If a discount of 17.5% is given, then for how much (in Rs.) should the article be sold?
