Calculating Final Fan Price with Successive Discounts
The problem asks for the final price paid for a fan after applying two successive discounts.
Key Information:- Printed Price: ₹200
- First Discount: 30%
- Second Discount: 20%
Step-by-Step Discount Calculation
First, calculate the price after the initial 30% discount.
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Calculate the amount of the first discount:
Discount Amount 1 = Printed Price $\times$ (First Discount Percentage / 100)
Discount Amount 1 = ₹200 $\times$ (30 / 100) = ₹200 $\times$ 0.30 = ₹60
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Calculate the price after the first discount:
Price after 1st Discount = Printed Price - Discount Amount 1
Price after 1st Discount = ₹200 - ₹60 = ₹140
Alternatively, using the remaining percentage:
Price after 1st Discount = Printed Price $\times$ (1 - First Discount Percentage / 100)
Price after 1st Discount = ₹200 $\times$ (1 - 30/100) = ₹200 $\times$ (70/100) = ₹200 $\times$ 0.70 = ₹140
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Now, apply the second 20% discount on the reduced price (₹140).
Calculate the amount of the second discount:
Discount Amount 2 = Price after 1st Discount $\times$ (Second Discount Percentage / 100)
Discount Amount 2 = ₹140 $\times$ (20 / 100) = ₹140 $\times$ 0.20 = ₹28
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Calculate the final price paid by the man:
Final Price = Price after 1st Discount - Discount Amount 2
Final Price = ₹140 - ₹28 = ₹112
Alternatively, using the remaining percentage:
Final Price = Price after 1st Discount $\times$ (1 - Second Discount Percentage / 100)
Final Price = ₹140 $\times$ (1 - 20/100) = ₹140 $\times$ (80/100) = ₹140 $\times$ 0.80 = ₹112
Combined Calculation:
Final Price = Printed Price $\times$ (1 - Discount 1/100) $\times$ (1 - Discount 2/100)
Final Price = ₹200 $\times$ (1 - 30/100) $\times$ (1 - 20/100)
Final Price = ₹200 $\times$ (70/100) $\times$ (80/100)
Final Price = ₹200 $\times$ 0.70 $\times$ 0.80 = ₹112
The man paid ₹112 for the fan.
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?
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?
A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?
On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?
What is the total discount applicable if 3 successive discounts of 20%, 10% and 12.5% are applied?
