The total income of vijay and vipin is rs9,50,000. The percentage of their expenses is 80 and 85.If the ratio of their saving is 6:5 ,find the saving of each of them
Answers
Let the total income of Vijay be x and that of the Vipin be y
Their sum of income is given as Rs9,50,000
So we get equation
x + y = 950000. .... ( l )
Expenses of Vijay = x × 80 %
= x × 80/100
Expenses of Vipin = y × 85 %
= y × 85/100
Savings = Income - Expenditure
Savings of Vijay = x - 80x / 100
= 20x/100
Savings of Vipin = y - 85x/100
= 15x/100
Ratio of savings is 6 : 5
So
20x/100 ÷ 15y/100 = 6/5
20x/100 × 100/15y = 6/5
20x/15y = 6/5
20x × 5 = 15y × 6
100x = 90y
100x - 90y = 0
Dividing by 10
10x - 9y = 0. ... ( ll )
Multiplying equation ( l ) by 9
9x + 9y = 8550000
Adding equation ( ll ) & ( lll ) we get
19x = 8550000
x = 4,50,000
Now find value of x by putting value of y in equation ( l )
450000 + y = 950000
y = 950000 - 450000
y = Rs 500000
savings of Vijay = 450000 × 20/100
= 450000 × 1/5
= 90000
Saving of Vipin = 500000 × 15/100
= 5000 × 15
= 75000
So the savings of Vijay and Vipin is Rs 90 , 000 & Rs 75,000 respectively