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.