Calculate Discount Scheme Selling Prices
The problem involves comparing two discount schemes on a marked price (MP) of ₹38,800.
- Scheme 1: A single discount of 25%.
- Scheme 2: Two successive discounts of 10% and 15%.
We need to find the difference between the selling prices (SP) generated by these two schemes.
Scheme 1: Single Discount Calculation
Calculate the selling price with a single 25% discount.
- Marked Price (MP) = ₹38,800
- Discount = 25%
- Selling Price (SP1) = MP × (1 - Discount Rate)
- SP1 = ₹38,800 × (1 - 0.25)
- SP1 = ₹38,800 × 0.75
- SP1 = ₹29,100
Scheme 2: Successive Discounts Calculation
Calculate the selling price with successive discounts of 10% and 15%.
- Marked Price (MP) = ₹38,800
- First Discount = 10%
- Price after 1st discount = MP × (1 - 0.10) = ₹38,800 × 0.90 = ₹34,920
- Second Discount = 15% (applied on the reduced price)
- Selling Price (SP2) = (Price after 1st discount) × (1 - 0.15)
- SP2 = ₹34,920 × 0.85
- SP2 = ₹29,682
Alternatively, the combined effect of successive discounts is calculated as:
SP2 = MP × (1 - 0.10) × (1 - 0.15)
SP2 = ₹38,800 × 0.90 × 0.85
SP2 = ₹38,800 × 0.765
SP2 = ₹29,682
Determine Price Difference
Find the difference between the two selling prices.
- Difference = SP2 - SP1
- Difference = ₹29,682 - ₹29,100
- Difference = ₹582
The difference between the selling prices in the two discount schemes is ₹582.
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Important Questions from Discount and MP
The marked price of an article is Rs. 1500. A shopkeeper sells it by giving 20% discount on its marked price. If the cost price of the article is Rs. 991, then his profit (in Rs.) is:
Surbhi sold an article for Rs. 176 after giving 12% discount on its marked price. Had she not given any discount; she would have earned a profit of 25%. What is the cost price (in Rs.) of the article?
The marked price of an article is Rs. 240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%. What is the cost price (in Rs.) of the article?
Three shopkeepers A, B and C marked on an identical article at Rs. 4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in Rs.)?
Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.
