A sum of Rs.2000 is to be divided among three people so A,B and C.'A'receives thrice as much as 'B' and 'B' receives one fourth that of 'C'.Then A's share is?

A)Rs1000  B)Rs750 C)Rs250 D)Rs500

Ans:B)Rs750

Given:

Total sum to be divided: Rs. 2000

Three people: A, B, and C

A receives three times as much as B

B receives one fourth of C

Let's denote the amounts received by A, B, and C as follows:

Let B's share be x.

Then, A's share is 3x (three times as much as B).

And, C's share is 4x (since B receives one fourth of C).

Step 1: Setting up the Equations:

The total sum is divided among A, B, and C: A + B + C = 2000

Step 2: Expressing A, B, and C's Shares:

A = 3x

B = x

C = 4x

Step 3: Substituting into the Total Sum Equation:

3x + x + 4x = 2000

8x = 2000

x = 250

Step 4: Calculating A's Share:

A's share = 3x = 3 * 250 = Rs. 750

Therefore, A's share is Rs. 750 (Option B).