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Rs. 11,400 is distributed among A, B, C, D such that when Rs. 125, Rs. 75, Rs. 105, Rs. 95 is subtracted from their shares then, the ratio of their shares becomes 7 : 8 : 4 : 6. Find the difference between the initial share of B and C.


1. 1530
2. 1630
3. 1730
4. 1830

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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

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