Total income of two people is 950000 the % of thier expenses is 80 and 85. The ratio of thier savings is 6:5 then find savings of each
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Here is your answer.......
Let the income of one person be 'x' and
the income of the other be '950000 -x"
Saving = Income - expense
S₁ = x - (80x/100) = 20x/100 = x/5
S₂ = (950000 -x) - [85(950000 -x)/100]
= 15(950000 -x) / 100
= 3(950000 -x)/ 20
S₁ / S₂ = 6/5 [Given]
⇒ (x/5) / 3(950000 -x)/ 20 = 6/5
⇒ x / 3(950000 -x)/ 4 = 6/5
⇒ 20x = 17280000 - 18 x
⇒ 38x = 17280000
⇒ x = 454736.84 ≈ 454737
∴ Income of first person = x = 454736
And, Income of other person = 950000 - 454736 = 495264
Now, you can calculate their saving by calculating S₁ and S₂ by putting the value of 'x'.
I hope it helps you ^_^
Let the income of one person be 'x' and
the income of the other be '950000 -x"
Saving = Income - expense
S₁ = x - (80x/100) = 20x/100 = x/5
S₂ = (950000 -x) - [85(950000 -x)/100]
= 15(950000 -x) / 100
= 3(950000 -x)/ 20
S₁ / S₂ = 6/5 [Given]
⇒ (x/5) / 3(950000 -x)/ 20 = 6/5
⇒ x / 3(950000 -x)/ 4 = 6/5
⇒ 20x = 17280000 - 18 x
⇒ 38x = 17280000
⇒ x = 454736.84 ≈ 454737
∴ Income of first person = x = 454736
And, Income of other person = 950000 - 454736 = 495264
Now, you can calculate their saving by calculating S₁ and S₂ by putting the value of 'x'.
I hope it helps you ^_^
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