If 20% of A = 35% of B, then A : B=

Options

A. `5:7`
B. `2:3`
C. `7:4`
D. `1:2`

Answer

To solve the problem, we start with the equation given in the question:

1. **Write the equation based on the problem statement:**
\[ 20\% \text{ of } A = 35\% \text{ of } B \]

2. **Convert percentages to fractions:**
\[ \frac{20}{100} \times A = \frac{35}{100} \times B \]

3. **Simplify the fractions:**
\[ \frac{1}{5} \times A = \frac{7}{20} \times B \]

4. **Cross-multiply to eliminate the fractions:**
\[ 20A = 35B \]

5. **Rearrange the equation to find the ratio of A to B:**
\[ \frac{A}{B} = \frac{35}{20} \]

6. **Simplify the ratio:**
\[ \frac{A}{B} = \frac{7}{4} \]

7. **Express the ratio in the form A : B:**
\[ A : B = 7 : 4 \]

Thus, the final answer is:
\[ A : B = 7 : 4 \]