What is the compound ratio of 45 : 75, 3 : 5, 51 : 68 and 256 : 81?

Correct option is A

​Given Ratios:

​$$45:75, \, 3:5, \, 51:68, \, 256:81$$​​

Formula Used:

​$$\text{Compound Ratio} = \frac{\text{Product of Numerators}}{\text{Product of Denominators}}$$​​

Solution: ​

Product of numerators;

​$$\text{Numerators: } 45 \times 3 \times 51 \times 256$$ 

Product of denominators;

​$$\text{Denominators: } 75 \times 5 \times 68 \times 81$$​​

Then, Compound ratio:

​$$\frac{45 \times 3 \times 51 \times 256}{75 \times 5 \times 68 \times 81} = \frac{1762560}{2062500} = \frac{64}{75}$$​​