Rs. 11250 are divided among a, b and c so that a may receive one half as much as b and c together receive and b receives one-fourth of what a and c together receive. The share of a is more than that of b by
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The share of a is 1500 Rs more than that of b.
Step-by-step explanation:
A : B + C
1 × 5 : 2 × 5 ------(1)
B : A + C
1 × 3 : 4 × 3 -------(2)
The total sum of A, B and C will be same.
So equate the sum of both the equations.
- After that new ratio will be.
A : B + C
5 : 10 ------(3)
B : A + C
3 : 12 ------ (4)
- From equation (3) and (4)
A : B : C
5 : 3 : 7
- According to the question.
(5 + 3 + 7) units = Rs. 11250
15 units = Rs. 11250
1 unit = Rs. 750
- Difference in shares of A and B
= (5−3)×750 = Rs.1500
Thus the share of a is 1500 Rs more than that of b.
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