Ramesh, Ravi and Rahul together earn ₹ 23184 and spend 60%, 70% and 80% of their salaries respectively. If their savings are in the ratio of 28:42:30, the salary of Ravi is:

Correct option is A

Given:
Total earnings = ₹ 23184
Expenditures of Ramesh, Ravi, and Rahul are 60%, 70%, and 80% respectively.
Ratio of their savings = 28 : 42 : 30
Formula Used:
Savings % = 100% - Expenditure %
Solution:
Calculate the savings percentage for each:
Ramesh's savings % = 100% - 60% = 40%
Ravi's savings % = 100% - 70% = 30%
Rahul's savings % = 100% - 80% = 20%
Let their salaries be $$S_1, S_2,$$​ and $$S_3$$​ respectively.
Based on the ratio of savings:
​$$0.4 S_1 : 0.3 S_2 : 0.2 S_3 = 28 : 42 : 30$$​​
This implies the ratio of their salaries is:
​$$S_1 : S_2 : S_3 = \frac{28}{0.4} : \frac{42}{0.3} : \frac{30}{0.2}$$​​
​$$S_1 : S_2 : S_3 = 70 : 140 : 150$$​​
Simplify the ratio:
7 : 14 : 15
Sum of the ratio units = 7 + 14 + 15 = 36
Salary of Ravi ($$S_2$$​) = $$\frac{14}{36} × 23184$$​​
= 14 × 644 = 9016
Final Answer
So the correct answer is (a)