Question
Download Solution PDFWhich of the following schemes will yield minimum discount?
1) 2 successive discounts of 5% and 5%
2) Single discount of 10%
3) 2 successive discounts of 8% and 2%
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Scheme 1: 2 successive discounts of 5% and 5%
Scheme 2: Single discount of 10%
Scheme 3: 2 successive discounts of 8% and 2%
Formula used:
Successive discount formula: (1 - d1) × (1 - d2)
Calculations:
Scheme 1:
⇒ (1 - 0.05) × (1 - 0.05)
⇒ 0.95 × 0.95
⇒ 0.9025
⇒ Effective discount = 1 - 0.9025 = 0.0975 or 9.75%
Scheme 2:
⇒ Single discount = 10%
Scheme 3:
⇒ (1 - 0.08) × (1 - 0.02)
⇒ 0.92 × 0.98
⇒ 0.9016
⇒ Effective discount = 1 - 0.9016 = 0.0984 or 9.84%
Last updated on Jul 15, 2025
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