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