The ages of Asha, Bina and Chitra are in the ratio \(\frac{1}{2}:\frac{2}{3}:\frac{3}{4}\). The difference between the ages of Chitra and Asha is 12 years. What is the age of Bina?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 32 years
A ratio of fractions becomes a ratio of whole numbers when every term is multiplied by the LCM of the denominators; here the LCM of 2, 3 and 4 is 12.
\(\displaystyle \frac{1}{2}\times12:\frac{2}{3}\times12:\frac{3}{4}\times12=6:8:9\)
Chitra − Asha \(=9-6=3\) parts \(=12\) years
1 part \(=4\) years
Bina \(=8\times4=32\) years
Bina is 32 years old.