9 Views

Question : On a tree, there are some parrots and some pigeons in the ratio of 7 : 9, respectively. After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree. The ratio of the parrots and the pigeons on the tree now is 1 : 4. What is the ratio of the parrots and the sparrows that are now on the tree?

Option 1: 1 : 1

Option 2: 1 : 2

Option 3: 3 : 5

Option 4: 4 : 5


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 3 : 5


Solution : Let the initial number of parrots and pigeons on the tree are $7x$ and $9x$, respectively.
After an hour, 8 parrots fly away and 6 pigeons come and sit on the tree.
The number of parrots and pigeons on the tree now is $(7x - 8)$ and $(9x + 6)$, respectively.
According to the problem, the ratio of the parrots and the pigeons on the tree now is 1 : 4.
$⇒(7x - 8) : (9x + 6) = 1 : 4$
$⇒4(7x - 8) = 1(9x + 6)$
$⇒28x - 32 = 9x + 6$
$⇒19x = 38$
$⇒x = 2$
Substituting $x = 2$ in $7x - 8$, we get the number of parrots on the tree now as 6.
The number of sparrows that came and sat on the tree is 10.
Therefore, the ratio of the parrots and the sparrows that are now on the tree is 6 : 10 = 3 : 5.
Hence, the correct answer is 3 : 5.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books