A sum of Rs. 730 was divided among A, B and C in such a

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A sum of Rs. 730 was divided among A, B and C in such a way that if A gets Rs. 3 then B gets Rs. 4 and if B gets Rs. 3.50 then C gets Rs. 3. The share of B exceeds that of C by

1. Rs. 30
2. Rs. 40
3. Rs. 70
4. Rs. 210

Correct Option: B

According to the question,
A : B = 3 : 4
B : C = 3.5 : 3
= 7 : 6
∴ A : B : C
= 3 × 7 : 4 × 7 : 4 × 6 = 21 : 28 : 24
Sum of the terms of ratio = 21 + 28 + 24 = 73
∴ Difference between the shares of B and C

= Rs.		28 − 24		× 730
		73

= Rs. 40