Question

The ratio of monthly earning of Rohit and Ravi is 5 : 4 and their expenditure ratio is 6 : 5. If they save in the ratio 3 : 2 and their combined saving is Rs. 5000 then what is the half yearly earning of Rohit?
1. 180000
2. 144000
3. 90000
4. 15000
5. 12000

Answer 1

Correct Answer - Option 3 : 90000

Given-   

Ratio of earning of Rohit and Ravi = 5 : 4

Ratio of their expenditure = 6 : 5 

Ratio of their Savings = 3 : 2

Concept Used-

Income  = Expenditure + Savings

Calculation-

Let the earnings of Rohit and Ravi be 5x and 4x and their expenditure be 6y and 5y

Savings of Rohit = 5x - 6y

Savings of Ravi =  4x - 5y

According to Question-

5x - 6y + 4x - 5y =  5000

⇒ 9x - 11y = 5000  ---------(i)

(5x - 6y)/(4x - 5y) = 3/2

⇒ 10x - 12y = 12x - 15y

⇒ 2x - 3y = 0 -------(ii) 

Solving Equation i and ii we get x = 3000 and y = 2000

Monthly earning of Rohit = 5 × 3000

⇒ 15000

∴ Half Yearly earning of Rohit = 6 × 15000

⇒ 90000