Question
Download Solution PDFApplied to a bill for ₹1000, what is the difference between a discount of 40% and two successive discounts of 36% and 4%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Bill Amount = ₹1000
First discount = 40%
Successive discounts = 36% and 4%
Formula Used:
Final Price after a single discount = Original Price - (Original Price × Discount Percentage)
Final Price after successive discounts = Original Price × (1 - First Discount) × (1 - Second Discount)
Calculation:
Single Discount Calculation:
Discount = 40%
Final Price = 1000 - (1000 × 0.40)
⇒ Final Price = 1000 - 400
⇒ Final Price = 600
Successive Discounts Calculation:
First Discount = 36%
Second Discount = 4%
Final Price = 1000 × (1 - 0.36) × (1 - 0.04)
⇒ Final Price = 1000 × 0.64 × 0.96
⇒ Final Price = 1000 × 0.6144
⇒ Final Price = 614.40
Difference between Discounts:
Difference = 614.40 - 600
⇒ Difference = 14.40
The difference between a discount of 40% and two successive discounts of 36% and 4% is ₹14.40. The correct answer is option 3.
Last updated on Jun 17, 2025
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