# The income of a person is H.his expenditure and savings are in the ratio 3:5.if income is raised by 10 but his expenditure remains the same what is the new ratio of the expenditure to the savings

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by nivetangeli

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by nivetangeli

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I suppose in the question, the Income is **raised by 10 AND NOT by 10%**

Income = H units

As expenditure : Savings = 3:5 or 3 / (3+5) : 5 / (3+5) = 3/8 : 5/8

Expenditure = H * [ 3 / (3+5) ] = 3 H / 8 units

Savings = 5 H / 8 units

Now, Income is raised by 10*and NOT 10%*, So New income is = H + 10 units

Expenditure = same = 3 H / 8 units

Savings = H+10 - 3H/8 = 5H/8 + 10

New ratio of expenditure to savings

[ 3H/8 ] / [ 5H/8 + 10 ] multiply numerator & denominator by 8

**3 H / [ 5H + 80 ]**

Income = H units

As expenditure : Savings = 3:5 or 3 / (3+5) : 5 / (3+5) = 3/8 : 5/8

Expenditure = H * [ 3 / (3+5) ] = 3 H / 8 units

Savings = 5 H / 8 units

Now, Income is raised by 10

Expenditure = same = 3 H / 8 units

Savings = H+10 - 3H/8 = 5H/8 + 10

New ratio of expenditure to savings

[ 3H/8 ] / [ 5H/8 + 10 ] multiply numerator & denominator by 8