TV Discount Difference Calculation
This solution determines the difference in the final price of a TV when applying two successive discounts versus a single flat discount.
Calculating Price with Successive Discounts
Original TV Price: $ ₹48,000 $
Discounts: 7% followed by 10%
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Price after the first discount (7%):
$ \text{Price}_1 = ₹48,000 \times (1 - \frac{7}{100}) $
$ \text{Price}_1 = ₹48,000 \times (1 - 0.07) = ₹48,000 \times 0.93 = ₹44,640 $
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Price after the second discount (10%):
This discount is applied to the price after the first discount.
$ \text{Final Price}_{\text{Successive}} = ₹44,640 \times (1 - \frac{10}{100}) $
$ \text{Final Price}_{\text{Successive}} = ₹44,640 \times (1 - 0.10) = ₹44,640 \times 0.90 = ₹40,176 $
Calculating Price with Flat Discount
Original TV Price: $ ₹48,000 $
Flat Discount Rate: 17%
$ \text{Final Price}_{\text{Flat}} = ₹48,000 \times (1 - \frac{17}{100}) $
$ \text{Final Price}_{\text{Flat}} = ₹48,000 \times (1 - 0.17) = ₹48,000 \times 0.83 = ₹39,840 $
Determining the Price Difference
Subtract the final price with the flat discount from the final price with successive discounts.
$ \text{Difference} = \text{Final Price}_{\text{Successive}} - \text{Final Price}_{\text{Flat}} $
$ \text{Difference} = ₹40,176 - ₹39,840 = ₹336 $
Summary
The difference between applying two successive discounts (7% and 10%) and a flat 17% discount on a ₹48,000 TV is ₹336.
Similar Questions
- An item marked for ₹38,800 is available on a discount of 25% or two successive discounts of 10% and 15%. What is the difference between the selling prices in the discount schemes?
- A wholesaler gives a scheme discount of 10% on a marked price of ₹400. What is the selling price?
- Find a single discount equivalent to successive discounts of 5% and 20%.
- Find a single discount equivalent to successive discounts of 15% and 18%.
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- How much percentage above the cost price should a shopkeeper mark his goods so that after allowing a discount 25% he should gain 12%?
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- If on a marked price, the difference between selling prices with a discount of 45% and two successive discounts of 30% and 20% is ₹84, then the marked price is _______.
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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%.
