A shopkeeper offers the following discount schemes for buyers:
I. Two successive discounts of 15% and 20%
II. Successive discount of 25% and 10%
III. A discount of 33%
The selling price will be minimum under which scheme?

Question

Accepted Answer

Let's assume the marked price is 100 units.

Scheme I: Two successive discounts of 15% and 20%
First discount: 15% of 100 = 15, so price after first discount = 100 - 15 = 85
Second discount: 20% of 85 = 17, so price after second discount = 85 - 17 = 68

Scheme II: Two successive discounts of 25% and 10%
First discount: 25% of 100 = 25, so price after first discount = 100 - 25 = 75
Second discount: 10% of 75 = 7.5, so price after second discount = 75 - 7.5 = 67.5

Scheme III: Single discount of 33%
Discount: 33% of 100 = 33, so price after discount = 100 - 33 = 67

Comparing the final prices:
Scheme I: 68
Scheme II: 67.5
Scheme III: 67

The minimum selling price is under Scheme III (67), but the question asks under which scheme the selling price will be minimum.

Since 67 (Scheme III) < 67.5 (Scheme II) < 68 (Scheme I), the minimum selling price is under Scheme III.

However, the options given are:
1. II
2. I or II
3. III
4. I

Therefore, the correct answer is option 3: III.

Answer

Answer

Answer