Question : 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 of A and B in 2021 was INR 7,05,600, then what was the income (in INR) of B in 2021?
Option 1: 3,45,600
Option 2: 2,79,700
Option 3: 3,60,000
Option 4: 4,25,900
Correct Answer: 3,45,600
Solution :
Given:
The ratio of income of A and B in 2020 = 5 : 4
The ratio of individual income of A in 2020 and 2021 = 4 : 5
The ratio of individual income of B in 2020 and 2021 = 2 : 3
Now,
Let the income of A in 2020 be
income of B in 2020 =
According to the question,
Let the income of A in 2020 be
Income of A in 2021 =
and,
Income of B in 2020 =
Income of B in 2021 =
Here,
Now,
income of A in 2021 in terms of
income of B in 2021 in terms of
Now,
Income of B in 2021
Hence, the correct answer is Rs. 3,45,600.
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