If 33% of A is equal to 55% of B then find the ratio of A and B?

Options

A. a. 3:5
B. b. 5:3
C. c. 3:4
D. d. 5:4

Answer

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

1. **Write the equation based on the percentages:**
\[ 33\% \text{ of } A = 55\% \text{ of } B \]
This can be expressed numerically as:
\[ \frac{33}{100} A = \frac{55}{100} B \]

2. **Eliminate the fractions by multiplying both sides by 100:**
\[ 33A = 55B \]

3. **Rearrange the equation to find the ratio of A to B:**
\[ \frac{A}{B} = \frac{55}{33} \]

4. **Simplify the ratio:**
\[ \frac{A}{B} = \frac{55 \div 11}{33 \div 11} = \frac{5}{3} \]

5. **Thus, the ratio of A to B is:**
\[ A : B = 5 : 3 \]