the ratio of two persons income is 9:7 and ratio of their expenditures is 4:3 if each of them manages to safe Rs.2000 per month find theor monthly salary
Answers
Answer:-
Let the incomes / salaries of the two persons be 9x , 7x.
Similarly,
Let,
Their expenditures be 4y , 3y.
And, they save Rs. 2000 per month.
Income - expenditure = savings
Hence,
Savings of the first person = Rs. 2000
→ 9x - 4y = 2000
→ 9x = 2000 + 4y
→ x = (2000 + 4y) / 9 - equation (1)
Savings of the second person = Rs. 2000
→ 7x - 3y = 2000
Substitute the value of x here.
→ 7 [ (2000 + 4y) / 9 ] - 3y = 2000
→( 14000 + 28y ) / 9 - 3y = 2000
→ (14000 + 28y - 3y * 9) / 9 = 2000
On cross multiplication we get,
→ 14000 + 28y - 27y = 9 * 2000
→ y + 14000 = 18000
→ y = 18000 - 14000
→ y = 4000
Substitute the value of y in equation (1).
→ x = (2000 + 4 * 4000) / 9
→ x = (2000 + 16000)/9
→ x = (18000) / 9
→ x = 2000
→ Income of the 1st person (9x) = 9(2000) = Rs. 18000.
→ Income of the 2nd person (7x) = 7(2000) = Rs. 14000.
Hence, the salaries of the two persons are Rs. 18000 , Rs. 14000.