Rs. 2,730 is divided among A, B and C such that A receives half as much as B and C together receive and B receives two-fifth of what A and C together receive. The share of C (in Rs.) is more than that of A by:

Given:

Total amount = Rs. 2730

A = (B + C)/2

B = 2/5 (A + C)

Formula used:

Ratio and Proportion

Calculations:

From the given information,

2A = B + C and 5B = 2A + 2C

Substituting 2A in the second equation,

5B = B + C + 2C

⇒ B = 3C/4

Now, substitute B back into 2A = B + C

2A = 3C/4 + C

⇒ A = 7C/8

Now, A + B + C = 2730

Substituting A and B in terms of C,

7C/8 + 3C/4 + C = 2730

⇒ 7C + 6C + 8C = 2730 * 8

⇒ 21C = 21840

⇒ C = 21840/21 = 1040

Similarly,

⇒ A = 7C/8 = 7 × 1040/8

A = 910

Difference = C - A = 1040 - 910 = 130

∴ C's share is Rs. 130 more than A's.