Quantitative Aptitude Ques 608

Question: Three-tenth of a number is equal to 36% of another number. If the sum of these two number is 88, then what is the value of the smaller number? [UBI (Clerk) 2010]

Options:

A) 38

B) 40

C) 48

D) 34

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the two numbers be x and y. Then, $ \frac{3}{10}x=\frac{36}{100}\times y $
    $ \Rightarrow $ $ x=\frac{12}{10}y $ Also, $ x+y=88 $

$ \Rightarrow $ $ \frac{12}{10}y+y=88 $

$ \Rightarrow $ $ \frac{22}{10}y=88 $
$ \Rightarrow $ $ y=40 $

$ \therefore $ $ x=\frac{12}{10}\times 40=48 $

$ \therefore $ Smaller number is 40.