# Word Problem 4

**Problem 4: Divide Rs 5625 among A, B and C so that A may receive 1/2 as much as B and C together, and B 1/4th of what A and C together receive.**

**a) 1125, 1875, 2630 b) 1875, 1125, 2625 c) 2625, 1875, 1125 d) none**

**Solution: **

Here,

1st Condition:

A receives half of what B and C get together;

i-e

2nd Condition

B receives one fourth of what A and C receive together;

i-e

———————————————————————–

From 1st condition we can write;

Using share formula;

In the same way from 2nd condition we can write;

Using formula of share calculation;

Also we know that total amount is being divided among A, B and C, so sum of their shares should be 5625!

Put values of A’s share and B’s share in eq (1)

So, we have calculated shares of A,B and C

So option ‘b’ is the answer