The ratio of monthly earning of Rohit and Ravi is 5 : 4 and their expe

1.	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. 1800002. 1440003. 900004. 150005. 12000
Answer» 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

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. 1800002. 1440003. 900004. 150005. 12000

Answer» 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

Discussion

No Comment Found

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