Correct option is B
Given:
Total sum = Rs. 4,800,
Ratio of A's share to the combined share of B and C = 3 : 5,
C receives of what A and B together receive.
Solution:
A's share in terms of B and C
Let the combined share of B and C = 5x,
Then, A's share = 3x (since the ratio of A's share to the combined share of B and C is (3 : 5))
Total sum = A's share + B's share + C's share:
3x + 5x = 8x
8x = 4,800
x = = 600
A's share = 3x = 3 600 = 1,800,
Combined share of B and C = 5x = 5 600 = 3,000
C's share in terms of A and B.
C receives of what A and B together receive.
A and B together receive:
A's share + B's share = 1,800 + B's share
C's share = (1,800 + B's share)
B's share + C's share = 3,000
B's share + (1,800 + B's share) = 3,000
7 B's share + 5 (1,800 + B's share) = 21,000
7B + 9,000 + 5B = 21,000
12B + 9,000 = 21,000
12B = 12,000
B = 1,000
C's share = (1,800 + 1,000)):
C's share = 2,800 = 2,000
A's share = Rs. 1,800,
B's share = Rs. 1,000,
Difference:
1,800 - 1,000 = 800
Alternate Method:
C is not equal So that first equal C
C = 35x , b = 21x , a = 25-21 = 4x
Total A+B+C = 10x + 14x = 24x
24x = 4800
x = 200
Difference
A - B = 9x - (14x-9x)
A - B = 9x - 5x
A - B = 4x
4x = 200
= 800
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