| 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] |
A) 38
B) 40
C) 48
D) 34
E) None of these
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. |
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