Which of the following will give maximum discount on ₹ 6896?
(a) 2 successive discounts of `5%` and `5%`
(b) Single discount of `10%`
(c) 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 final price after applying each discount method.

### Option (a): Two successive discounts of 5% and 5%

1. **Calculate the first discount (5% of ₹ 6896)**:
\[ \text{First Discount} = 5\% \times 6896 = \frac{5}{100} \times 6896 = 344.8 \]

2. **Price after the first discount**:
\[ \text{Price after first discount} = 6896 - 344.8 = 6551.2 \]

3. **Calculate the second discount (5% of ₹ 6551.2)**:
\[ \text{Second Discount} = 5\% \times 6551.2 = \frac{5}{100} \times 6551.2 = 327.56 \]

4. **Price after the second discount**:
\[ \text{Final Price} = 6551.2 - 327.56 = 6223.64 \]

5. **Total discount given**:
\[ \text{Total Discount} = 6896 - 6223.64 = 672.36 \]

### Option (b): Single discount of 10%

1. **Calculate the single discount (10% of ₹ 6896)**:
\[ \text{Single Discount} = 10\% \times 6896 = \frac{10}{100} \times 6896 = 689.6 \]

2. **Price after the single discount**:
\[ \text{Final Price} = 6896 - 689.6 = 6206.4 \]

3. **Total discount given**:
\[ \text{Total Discount} = 6896 - 6206.4 = 689.6 \]

### Option (c): Two successive discounts of 8% and 2%

1. **Calculate the first discount (8% of ₹ 6896)**:
\[ \text{First Discount} = 8\% \times 6896 = \frac{8}{100} \times 6896 = 551.68 \]

2. **Price after the first discount**:
\[ \text{Price after first discount} = 6896 - 551.68 = 6344.32 \]

3. **Calculate the second discount (2% of ₹ 6344.32)**:
\[ \text{Second Discount} = 2\% \times 6344.32 = \frac{2}{100} \times 6344.32 = 126.8864 \]

4. **Price after the second discount**:
\[ \text{Final Price} = 6344.32 - 126.8864 = 6217.4336 \]

5. **Total discount given**:
\[ \text{Total Discount} = 6896 - 6217.4336 = 678.5664 \]

### Summary of Discounts:
- Option (a): Total Discount = ₹ 672.36
- Option (b): Total Discount = ₹ 689.6
- Option (c): Total Discount = ₹ 678.5664

### Conclusion:
The option that gives the maximum discount is **Option (b)**: a single discount of **10%** which results in a total discount of **₹ 689.6**.

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