Select the correct answerRS.5625 is divided among A, B and C so that A may receive ½ as much as B and C together receive and B receive ¼ of what A and C together receive. The share of A is more than that of B by:OptionsRS.750RS.1500RS.700RS.1600RS.775

Let's solve this step by step:

1. According to the problem, A receives 1/2 of what B and C receive together. Let's denote A's share as 'a', B's share as 'b', and C's share as 'c'. So, we have:

   a = 1/2 * (b + c) ---- (equation 1)

2. It's also given that B receives 1/4 of what A and C receive together. So, we have:

   b = 1/4 * (a + c) ---- (equation 2)

3. The total amount is Rs. 5625. So, we have:

   a + b + c = 5625 ---- (equation 3)

4. Now, we can solve these equations together. From equation 1, we can express 'a' in terms of 'b' and 'c':

   a = 1/2 * (b + c)

   Multiply both sides by 2:

   2a = b + c

   Express 'c' in terms of 'a' and 'b':

   c = 2a - b ---- (equation 4)

5. Substitute equation 4 into equation 2:

   b = 1/4 * (a + 2a - b)

   Simplify:

   b = 3/4 * a

   Multiply both sides by 4/3:

   a = 4/3 * b ---- (equation 5)

6. Substitute equation 5 into equation 3:

   4/3 * b + b + 2 * 4/3 * b = 5625

   Simplify:

   12/3 * b = 5625

   b = 5625 * 3/12 = 1406.25

7. Substitute 'b' into equation 5 to find 'a':

   a = 4/3 * 1406.25 = 1875

8. The difference between A's and B's shares is:

   1875 - 1406.25 = 468.75

So, none of the options given are correct. The difference between A's and B's shares is Rs. 468.75.