The ratio of Last year income of A, B & C was 3 : 4 : 5. While the ratio of their Last year income to current year income is 4 : 5; 2 : 3 and 3 : 4 respectively. If their total current year income is Rs. 98500; Find the present income of A?

Solution: We know that the incomes of A, B, and C were 3x, 4x, and 5x, respectively, last year. We will use the given ratios to calculate the change from last year to this year.
For A: Last : Current = 4 : 5 Hence, Current income of A = 5/4 × 3x = 15x/4
For B: Last : Current = 2 : 3 Hence, Current income of B = 3/2 × 4x = 6x
For C: Last : Current = 3 : 4 Hence, Current income of C = 4/3 × 5x = 20x/3
Calculation of the Sum of Current Incomes: We know that: Current income of A + Current income of B + Current income of C = 98,500 Hence, = 15x/4 + 6x + 20x/3 = 98,500
Using the LCM of 12: = (45x + 72x + 80x)/12 = 197x/12 = 98,500 = 197x = 98,500 × 12 = 1,182,000 = 197x = 6,000
Now we will calculate the current income of A: = 15x/4 = 15 × 6000/4 = 22,500
Answer: = 22,500