A company offers the following:

I. Successive discounts of 25% and 5%

II Successive discounts of 20% and 10%

III Successive discounts of 22% and 8%

Which offer is the best for a customer?

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  1. III
  2. All are equally good
  3. II
  4. I

Answer (Detailed Solution Below)

Option 4 : I
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Detailed Solution

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Formula used:

Effective discount = 100 - [(100 - discount1) × (100 - discount2) / 100]

Calculations:

I. Successive discounts of 25% and 5%:

⇒ Effective discount = 100 - [(100 - 25) × (100 - 5) / 100]

⇒ Effective discount = 100 - [75 × 95 / 100]

⇒ Effective discount = 100 - 71.25 = 28.75%

II. Successive discounts of 20% and 10%:

⇒ Effective discount = 100 - [(100 - 20) × (100 - 10) / 100]

⇒ Effective discount = 100 - [80 × 90 / 100]

⇒ Effective discount = 100 - 72 = 28%

III. Successive discounts of 22% and 8%:

⇒ Effective discount = 100 - [(100 - 22) × (100 - 8) / 100]

⇒ Effective discount = 100 - [78 × 92 / 100]

⇒ Effective discount = 100 - 71.76 = 28.24%

∴ The correct answer is option (4) (Maximum Discount).

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