Question

If the monthly income of Gerrard increased by 30%, while his expenditure remained the same and his savings increased by 120%, then his monthly
expenditure is approximately what percentage of his new income.

Answer 1

Given :   monthly income of Gerrard increased by 30%, while his expenditure remained the same and his savings increased by 120%,

To find : his monthly  expenditure is approximately what percentage of his new income

Solution:

Let say Monthly Income  =  A

Saving  =   S

Expense = A - S  

monthly income   increased by 30%  = (30/100)A  = 0.3A

New monthly income = A + 0.3A = 1.3A

savings increased by 120%,  = (120/100)S = 1.2S

=> New Saving = S + 1.2S = 2.2S

Expenditure = 1.3A - 2.2S

A - S   = 1.3A  - 2.2S

=> 0.3A  = 1.2S

=> A  = 4S

New income = 1.3A = 1.3(4S) = 5.2S

E = A - S  = 4S  - S = 3S

% of Expenditure = (3S/5.2S) * 100   =   57.7 %

his monthly  expenditure is approximately 57.7 %  of his new income.

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