Anjali, Bhoomika and Chawla went to market to purchase the rings whose costs were same. But each ring was available with two successive discounts. Alkali availed two successive discounts of `5%` and `20%`. Bhoomika availed two successive discounts `10%` and `15%` while Chawla availed two successive discounts of `12%` and `13%`. Who gets the maximum possible discount?

Options

A. Anjali
B. Bhoomika
C. Chawla
D. all of these

Answer

To determine who among Anjali, Bhoomika, and Chawla received the maximum discount on their rings, we will calculate the effective discount for each person based on the successive discounts they availed.

### Step-by-Step Solution:

1. **Calculate Anjali's Effective Discount:**
- Anjali availed discounts of 5% and 20%.
- The effective discount can be calculated using the formula for successive discounts:
\[ \text{Effective Discount} = 1 - (1 - d_1)(1 - d_2) \]
where \(d_1\) and \(d_2\) are the discounts in decimal form.
- Convert the percentages to decimals:
- \(d_1 = 5\% = 0.05\)
- \(d_2 = 20\% = 0.20\)
- Substitute into the formula:
\[ \text{Effective Discount} = 1 - (1 - 0.05)(1 - 0.20) = 1 - (0.95)(0.80) = 1 - 0.76 = 0.24 \]
- Convert back to percentage:
\[ \text{Effective Discount} = 0.24 \times 100 = 24\% \]

2. **Calculate Bhoomika's Effective Discount:**
- Bhoomika availed discounts of 10% and 15%.
- Convert the percentages to decimals:
- \(d_1 = 10\% = 0.10\)
- \(d_2 = 15\% = 0.15\)
- Substitute into the formula:
\[ \text{Effective Discount} = 1 - (1 - 0.10)(1 - 0.15) = 1 - (0.90)(0.85) = 1 - 0.765 = 0.235 \]
- Convert back to percentage:
\[ \text{Effective Discount} = 0.235 \times 100 = 23.5\% \]

3. **Calculate Chawla's Effective Discount:**
- Chawla availed discounts of 12% and 13%.
- Convert the percentages to decimals:
- \(d_1 = 12\% = 0.12\)
- \(d_2 = 13\% = 0.13\)
- Substitute into the formula:
\[ \text{Effective Discount} = 1 - (1 - 0.12)(1 - 0.13) = 1 - (0.88)(0.87) = 1 - 0.7656 = 0.2344 \]
- Convert back to percentage:
\[ \text{Effective Discount} = 0.2344 \times 100 = 23.44\% \]

4. **Compare the Discounts:**
- Anjali's discount: 24%
- Bhoomika's discount: 23.5%
- Chawla's discount: 23.44%
- The maximum discount is 24% availed by Anjali.

### Conclusion:
Anjali received the maximum possible discount of **24%**.