Correct Answer - Option 4 : 5,829
Given:
The sum divided among A, B and C is Rs. x
The ratio of the share of A and B is 3 : 5
The ratio of the share of B and C is 4 : 7
And the difference between shares of A and C is Rs. 2,001.
Calculation:
Ratio of A, B and C = 3 : 5 ∷ 4 : 7
⇒ (3 × 4) : (5 × 4) : (5 × 7)
⇒ 12 : 20 : 35
Let the shares be 12x, 20x and 35x respectively.
Total shares = 67x
Share of C – Share of A = 2,001
⇒ (35/67)x – (12/67)x = 2,001
⇒ (35x – 12x)/67 = 2001
⇒ 23x = 2001 × 67
⇒ x = 5,829
∴ The value of x is 5,829.