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 If A 's income is \(57\frac{1}{7}\% \) of B's income. If A's income is 525% more than B's savings and A's savings is 16.66% of B's expenditure. If difference between A's savings and B's savings is Rs.315. Find the average income of A and B.


1. 4150
2. 4125
3. 4025
4. 4321

1 Answer

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Correct Answer - Option 2 : 4125

Given

If A 's income is \(57\frac{1}{7}\% \)  of B's income. If A's income is 525% more than B's savings and A's savings is 16.66% of B's expenditure. If difference between A's savings and B's savings is Rs.315. 

Concept used

Percentage

Calculation

Income = Expenditure + savings

⇒ \(57\frac{1}{7}\% \) = 4/7

Ratio of income of A and B = 400 : 700 (For easy calculation)

B's savings × 625% = Income of A 

B's savings × (25/4) = 400

B's savings = 64

B's expenditure = Income - savings

B's expenditure = 700 - 64 

B's expenditure = 636

A's savings = 16.66% of B's expenditure

A's savings = (1/6) × 636

A's savings = 106

Difference of savings of A and B 

⇒ 106 - 64 = 42

As per the question, 

⇒ 42 unit = 315

     1 unit = 315/42

Average income of A and B = \(\frac{{400\ +\ 700}}{2} = 550\)

∴ 550 × (315/42) = 4125

 

 

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