Question

There are 63 cookies to be divided among four children Ram, Arjun, John & Imran. Cookies are divided in such a way that Arjun gets twice the number of cookies as compared to Ram. John gets half of the sum of the number of cookies that Arjun & Ram have. Imran got half of the cookies that John got. Find the number of cookies Imran has.

• A. 12
• B. 18
• C. 9
• D. 24

Answer 1

The correct option is C 9

Let the no. of cookies Ram have is y
As per question the no. of cookies Arjun have = (2 times Ram have) = 2y
The no. of cookies John have $=\frac{y+2y}{2}$
The no. of cookies Imran have $=\frac{no.ofcookiesjohnhave}{2}$
$\Rightarrow y+2y+\frac{y+2y}{2}+\frac{y+2y}{4}=63$
$\Rightarrow y=12$ So no. of cookies Ram have is y = 12
No. of cookies Arjun have is 2y = 24
No. of cookies John have $=\frac{y+2y}{2}=18$
No. of cookies Imran have = 9.