The ratio of the incomes of A and B in 2020 was 5:4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively. If the total income A and B in 2021 was Rs. 705600, then what was the income (in Rs.) of B in 2021?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 345600.
Here it is given that the ratio of the incomes of A and B in 2020 was 5:4.........(1)
The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively.
A's incomes in 2020 and 2021 were 4 : 5 ............(2)
B's incomes in 2020 and 2021 were 2 : 3...............(3).
To make the components of the ratio equal, multiply the equation 1 by 4, 2 by 5 and 3 by 8.
The ratio of the incomes of A and B in 2020 becomes 20 : 16.
A's incomes in 2020 and 2021 become = 20 : 25
B's incomes in 2020 and 2021 become = 16 : 24.
Total income of A and B in 2021 = 25x + 24x = 49x
49x = 705600
x = 14400.
Income of B in 2021 = 24x = 14400 × 24 = 345600.