SATHEE: Quantitative Aptitude Ques 1898

Quantitative Aptitude Ques 1898

Question: A, B and C invested capitals in the ratio of 4: 6: 9. At the end of the business term, they received the profit in the ratio of 2: 3: 5. Find the ratio of their time for which they contributed their capitals.

Options:

A) 1: 1: 9

B) 2: 2: 9

C) 10: 10: 9

D) 9: 9: 10

Show Answer

Answer:

Correct Answer: D

Solution:

Let required ratio of time be $ t _1:t _2:t _3. $ Then, ratio of investments = Ratio of profits $ 4t _1:6t _2:9t _3=2:3:5 $ Taking first two terms of the ratio, $ \frac{4t _1}{6t _2}=\frac{2}{3} $
$ \Rightarrow $ $ \frac{t _1}{t _2}=\frac{1}{1}=\frac{9}{9} $

$ \Rightarrow $ $ t _1:t _2=9:9 $ Taking last two terms of the ratio, $ \frac{6t _2}{9t _2}=\frac{3}{5} $
$ \Rightarrow $ $ \frac{t _2}{t _3}=\frac{9}{10} $

$ \Rightarrow $ $ t _2:t _3=9:10 $

$ \therefore $ $ t _1:t _2:t _3=9:9:10 $

Quantitative Aptitude Ques 1897

Quantitative Aptitude Ques 1899

Quantitative Aptitude Ques 1898

Question: A, B and C invested capitals in the ratio of 4: 6: 9. At the end of the business term, they received the profit in the ratio of 2: 3: 5. Find the ratio of their time for which they contributed their capitals.

Options:

Answer:

Solution:

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