Correct Answer - Option 3 : 1730
Given:
The amount distributed among A, B, C, D is Rs. 11,400
The amount deducted from A, B, C, D is Rs. 125, Rs. 75, Rs. 105, Rs. 95 respectively.
The ratio of their shares becomes 7 : 8 : 4 : 6
Calculations:
Let the shares of A, B, C and D be 7y, 8y, 4y and 6y respectively.
The total deducted amount from their shares is
⇒ Rs. 125 + Rs. 75 + Rs. 105 + Rs. 95
⇒ Rs. 400
Amount distributed among A, B, C, D is
⇒ Rs. 11,400 – Rs. 400 =
⇒ Rs. 11,000
Total amount distributed in ratio is
⇒ 7y + 8y + 4y + 6y
⇒ 25y
According to the question, we have
⇒ 25y = 11,000
⇒ y = 440
So, The initial share of A is 7y + 125 = Rs. 3,205
The initial share of B is 8y + 75 = Rs. 3,595
The initial share of C is 4y + 105 = Rs. 1,865
The initial share of D is 6y + 95 = Rs. 2,735
So, The difference between the initial share of B and C is
⇒ Rs. 3,595 – Rs. 1865
⇒ Rs. 1730
∴ The difference between the initial share of B and C is Rs. 1730
