Question

divide rupees 1000 between Kareena and Rummy in such a way that one third of Kareena share equals half the share of rummy.​

Answer 1

QUESTION

Divide Rs 1000 between Kareena and Rummy in such a way that one third of Kareena share equals half the share of rummy.

SOLUTION

Let, share of Kareena = m Rs

and

share of Rummy = n Rs

then,

( using the statement : one third of Kareena's share equals half the share of rummy , we will get )

$\frac{1}{3} * m = \frac{1}{2}* n\\\\\frac{m}{3} = \frac{n}{2} \\\\ \boxed{\frac{m}{n}=\frac{3}{2}}\\ that\:give\:us\:the\:ratio\:of\:\\share\:of\:Kareena\: and\: Rummy$

so,

Let ,

m = 3 x

and

n = 2 x

then,

( as given that 1000 rs is divided )hence,

m + n = 1000

3 x + 2 x = 1000

5 x = 1000

x = 1000 / 5

x = 200

Hence,

$\boxed{Kareena's\:share=m=3 x = 3 (200) = 600 \:Rs}\\\\and\\\\\\\boxed{Rummy's\:share=n=2x=2(200)=400\:Rs}$

ANSWERS

Kareena's share = 600 Rs

Rummy's share = 400 Rs.