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.
Similar Questions
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Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of Rs. 25,500?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
Lekhana saves Rs. 15 on the purchase of a book when a discount of 20% is given. How much did she pay for the book?
What will be the selling price if three successive discounts of 10% is applied on an item marked at Rs 3000?
