If 24-carat gold is considered to be hundred per cent pure gold.then the percentage of pure gold In 22-carat gold in:

Options

A. 91`3/4` %
B. 91 `2/3` %
C. 91 `1/3` %
D. 90 `2/3` %

Answer

To find the percentage of pure gold in 22-carat gold, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Carats**:
- 24-carat gold is considered 100% pure gold.
- Therefore, 1 karat represents \( \frac{100\%}{24} \).

2. **Calculate the Percentage of Pure Gold in 1 Karat**:
- \( \text{Percentage of pure gold in 1 karat} = \frac{100\%}{24} \).
- This simplifies to approximately \( 4.1667\% \) (or \( \frac{25}{6}\% \)).

3. **Calculate the Percentage of Pure Gold in 22 Karat**:
- Since 22-carat gold means it has 22 parts of pure gold out of 24 parts total, we can calculate the percentage of pure gold in 22-carat gold as follows:
- \( \text{Percentage of pure gold in 22-carat} = 22 \times \frac{100\%}{24} \).

4. **Perform the Multiplication**:
- \( \text{Percentage of pure gold in 22-carat} = \frac{2200\%}{24} \).

5. **Simplify the Fraction**:
- Now, divide \( 2200\% \) by \( 24 \):
- \( 2200 \div 24 = 91.6667\% \) (or \( \frac{275}{3}\% \)).

6. **Final Result**:
- Therefore, the percentage of pure gold in 22-carat gold is approximately \( 91.67\% \).