Which of the following will give maximum discount on ₹ 6896?
(a) 2 successive discounts of `5%` and `5%`
Single discount of `10%`
2 successive discounts of `8%` and `2%`

Options

A. a
B. b
C. c
D. All are same

Answer

To determine which option gives the maximum discount on ₹6896, we will calculate the effective discount for each option.

### Step 1: Calculate the effective discount for Option A (2 successive discounts of 5% and 5%)

1. **Calculate the equivalent discount using the formula:**
\[ \text{Equivalent Discount} = A + B - \frac{A \times B}{100} \]
where \( A = 5\% \) and \( B = 5\% \).

2. **Substituting the values:**
\[ \text{Equivalent Discount} = 5 + 5 - \frac{5 \times 5}{100} = 10 - 0.25 = 9.75\% \]

### Step 2: Calculate the effective discount for Option B (Single discount of 10%)

1. **The discount is straightforward:**
\[ \text{Discount} = 10\% \]

### Step 3: Calculate the effective discount for Option C (2 successive discounts of 8% and 2%)

1. **Using the same formula for the equivalent discount:**
\[ \text{Equivalent Discount} = 8 + 2 - \frac{8 \times 2}{100} \]

2. **Substituting the values:**
\[ \text{Equivalent Discount} = 8 + 2 - \frac{16}{100} = 10 - 0.16 = 9.84\% \]

### Step 4: Compare the discounts

- Option A: 9.75%
- Option B: 10%
- Option C: 9.84%

### Conclusion

The maximum discount is from Option B, which is a single discount of 10%.

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