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?
Answer & explanation
Correct answer: option 3
Here,
Parrots : Pigeons
7 : 9
⇒ According to the question, After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree.
⇒ \(\frac{7x - 8}{9x + 6}\) = \(\frac{1}{4}\)
⇒ 28x - 32 = 9x + 6
⇒ 19x = 32
⇒ x = 2.
⇒ No. of parrots now = 7x - 8 = 7(2) - 8 = 14 - 8 = 6.
⇒ No. of sparrows = 10
⇒ Ratio of Parrots and sparrows = 6 : 10 = 3 : 5.