Question
Download Solution PDFRiya could not decide between discount of 30% or two successive discounts of 25% and 5%, both given on shopping of ₹3,840. What is the difference between both the discounts?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Riya could not decide between discount of 30% or two successive discounts of 25% and 5%, both given on shopping of ₹3,840.
Concept used:
1. Final discount percentage after two successive discounts of A% and B% = \((A + B - {AB \over 100})\%\)
2. Discount = Marked Price × Discount%
Calculation:
Final discount% for two successive discounts of 25% and 5% = \(25 + 5 - \frac {25 × 5}{100}\) = 28.75%
Difference between discount% = 30 - 28.75 = 1.25%
Now, the difference between the discount = 3840 × 1.25% = ₹48
∴ The difference between both the discounts is ₹48.
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