Quantitative Aptitude Ques 1850

Question: If the sum of two numbers, one of which is $ \frac{2}{5} $ times the other is 50, then the numbers are

Options:

A) $ \frac{240}{7}, $ $ \frac{110}{7} $

B) $ \frac{250}{7}, $ $ \frac{100}{7} $

C) $ \frac{115}{7}, $ $ \frac{236}{7} $

D) $ \frac{150}{7}, $ $ \frac{200}{7} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the first number be x. Then, other number be $ \frac{2}{5}x. $ According to the question, $ x+\frac{2}{5}x=50 $
    $ \Rightarrow $ $ \frac{7x}{5}=50 $
    $ \Rightarrow $ $ x=\frac{250}{7} $ Other number $ =\frac{2}{5}\times \frac{250}{7}=\frac{100}{7} $

$ \therefore $ The numbers are $ ( \frac{250}{7},\frac{100}{7} ). $

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