The ratio of a father's salary to his son's salary is 3:2 , whereas the ratio of the son's salary to his mother's is 4:5 . If the mother earns Rs . 45,000, calculate the salary of the father.
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So mother's salary = rs.45,000
Ratio of son : mother salary = 4:5
4+5 = 9
so mothers salary = 5/9 × X = 45000
So 5X = 45000 × 9
X = 45000 × 9 = 9000 × 9 = rs.81000
5 (cancel 5 and 45000)
so total of mother's and sons salary = rs.81000
So sons salary = 81000 - 45000 = rs. 36000
Ratio of father : son = 3 : 2
3+2 = 5
Total of their salary = Y
So sons = 2/5 × Y = 36000
2Y = 36000 × 5
So Y = 36000 ×5 = 18000 × 5 = 90,000
2(cancel 36000 and 2)
So father's salary = 90,000 - 36000 = Rs. 54000
Hope this helps :)
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