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SSC Selection Post 2022 PYQ — Question 64

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 1 • Quantitative Aptitude • Q64

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The ratio of the number of animals in zoo A to the number of animals in zoo B is 6 : 5. If zoo B has 65 animals in the begginning, how many animals must be transferred from zoo A to B so that the ratio of animals in zoo A and zoo B becomes 6 : 7?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 12.

Animals in zoo B = 5x = 65

⇒ x = 13

Animals in zoo A = 6x = 78

Let transfer animals = y

⇒ 78−y65+y=67{{78-y}\over{65+y}}={6\over7}

⇒ 7(78 - y) = 6 (65 + y)

⇒ 546 - 7y = 390 + 6y

⇒ 13y = 156

⇒ y = 12