The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number ?

Options

A. 360
B. 1080
C. 120
D. 40

Answer

C

Explanation

(c ) Let the number be x.
`:. (15%+20%)` of x=126
`:. X=(126xx100)/(35)=360`
`:.` required answer `=360xx(1)/(3)=120`
Alternate solution :
According to question
15%+20%=126
`implies35%=126`
`:.33.33%` will be slightly less than 126,
`:.` by options elimination , we get 120.