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