# A sum of Rs. x is divided between A, B and C such that the ratio of the shares of A and B is 3 ‚ą∂ 5, and that of B and C is 4 ‚ą∂ 7. If the difference be

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A sum of Rs. x is divided between A, B and C such that the ratio of the shares of A and B is 3 ‚ą∂ 5, and that of B and C is 4¬†‚ą∂ 7. If the difference between the shares of A and C is Rs. 2001, then the value of x is‚ą∂¬†¬†
1. 5,481
2. 5,742
3. 5,655
4. 5,829

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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 ‚ą∑ 4 : 7

‚áí (3 √ó 4) : (5 √ó 4) : (5 √ó 7)

‚áí 12 : 20 : 35

Let the shares be 12x, 20x and 35x respectively.

Total shares =¬†67x

Share of C ‚Äď Share of A = 2,001

‚áí (35/67)x ‚Äď (12/67)x = 2,001

‚áí (35x ‚Äď 12x)/67 = 2001

‚áí 23x = 2001 √ó 67

‚áí x = 5,829

‚ąī The value of x is 5,829.