the ratio of a's and b's income last year was 3 : 4. the ratio of their own incomes of last year and this year is 4 : 5 and 2 : 3 respectively. if the total sum of their present incomes is rs. 11310 then find the present income of b.
Answers
Answered by
2
Let the current salary of a be x.
The current salary of b will be :
11310 - x
The ratio of the past salary and current salary of a and b is :
A
4 : 5
B
2 : 3
From the ratios :
The past salary of A and B are respectively :
4/5x and 2/3(11310 - x)
A = 4/5x
B = 7540 - 2/3x
The ratio of their past salaries is :
3 : 4
Hence :
(4/5x)/(7540 - 2/3x) = 3/4
4 × 4/5x = 3 × (7540 - 2/3x)
16/5x = 22620 - 2x
16x = 113100 - 10x
26x = 113100
x = 113100/26
x = 4350
b's current salary is thus :
11310 - 4350 = 6960
Rs 6960
Similar questions