Which of the following successive discount is the best for the customer?
l. 25% 25% II. 10% 40% III. 20% 30%

Options

A. Only I
B. OnIy I
C. Only lll
D. All are same

Answer

To determine which of the given successive discounts is the best for the customer, we will calculate the effective discount for each option using the formula for successive discounts:

**Formula for Successive Discounts:**
If two successive discounts of x% and y% are given, the effective discount can be calculated as:
\[ \text{Effective Discount} = -\left(x + y - \frac{xy}{100}\right) \]

Now, let's calculate the effective discount for each option step by step.

### Option I: 25% and 25%
1. **Identify the discounts:** x = 25, y = 25
2. **Apply the formula:**
\[ \text{Effective Discount} = -\left(25 + 25 - \frac{25 \times 25}{100}\right) \]
3. **Calculate:**
\[ = -\left(50 - \frac{625}{100}\right) \]
\[ = -\left(50 - 6.25\right) \]
\[ = -43.75\% \]

### Option II: 10% and 40%
1. **Identify the discounts:** x = 10, y = 40
2. **Apply the formula:**
\[ \text{Effective Discount} = -\left(10 + 40 - \frac{10 \times 40}{100}\right) \]
3. **Calculate:**
\[ = -\left(50 - \frac{400}{100}\right) \]
\[ = -\left(50 - 4\right) \]
\[ = -46\% \]

### Option III: 20% and 30%
1. **Identify the discounts:** x = 20, y = 30
2. **Apply the formula:**
\[ \text{Effective Discount} = -\left(20 + 30 - \frac{20 \times 30}{100}\right) \]
3. **Calculate:**
\[ = -\left(50 - \frac{600}{100}\right) \]
\[ = -\left(50 - 6\right) \]
\[ = -44\% \]

### Summary of Effective Discounts:
- Option I: 25% and 25% → Effective Discount = 43.75%
- Option II: 10% and 40% → Effective Discount = 46%
- Option III: 20% and 30% → Effective Discount = 44%

### Conclusion:
The best discount for the customer is from **Option II: 10% and 40%**, which gives an effective discount of **46%**.

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