please answer the following questions :

A cake was cut and distributed among 4 people- Raju,Rani,Veena and Mithun

* Raju and rani got an equal share of the cake

* Veena and Mithun also got an equal share of cake.

Raju's share was twice as large as Veena's. What fraction of the whole cake did Rani get?

Solution:

Let us consider the whole cake as 1, and assume that veena got x share, then Raju will get 2x share.

Since Veena and Mithun got equal share then they both got x share and Raju Rani will get 2x share each.

So the equation we get:

x + x +2x +2x = 1

6x = 1

x = 1/6.

Since Veena got 1/6 share, then Raju will get 2 x 1/6 = 1/3 share.

Since Raju and Rani get equal share, the Rani will also get 1/3 share.

Ans: 1/3 of the cake.