Question : A supermarket offers the following discount schemes for buyers.
I. Two successive discounts of 25% and 15%
II. Successive discounts of 35% and 5%
III. A discount of 38%
Which offer is better for the customer?
Option 1: Either I or III
Option 2: Only I
Option 3: Only II
Option 4: Only III
Correct Answer: Only II
Solution :
I. For the first scheme, two successive discounts of 25% and 15%:
So, the equivalent discount $= 25 + 15 - \frac{25 \times 15}{100} = 36.25$%
II. For the second scheme, successive discounts of 35% and 5%:
So, the equivalent discount $= 35 + 5 - \frac{35 \times 5}{100} = 38.25$%
III. The third scheme directly offers a discount of 38%.
$\therefore$ The second discount is better for the customer.
Hence, the correct answer is Only II.
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