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QIn two consecutive years, the income ratio is 2: 3 accordingly. Their spending ratio is 5: 9. The income for the second year is Rs 45000, while the expenditure for the first year is Rs 25000. Find the savings for both years together.
ID: #4743
Ratio and Proportion
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#4743Q ID
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Ratio and ProportionTopic
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Let the First-year income = 2x And, Second-year income = 3x But ATQ, the second-year income = 45000 So, x = 45000/3 = 15000 Then, first-year income = 2*15000=30000 Similarly, Let the first-year expenditure = 5y The first-year expenditure =25000 So, y = 25000/5 = 5000 Second-year expenditure = 9y= 9* 5000 = 45000 Apply formula: Income = expenditure + savings Or, savings = income - expenditure Or, first-year savings = 30000- 25000 = 5000 Similarly, Second-year savings = 45000- 45000 = 0 Now, total saving in two years = first-year savings + second-year savings Or, Total saving = 5000+0 = 5000. Here is the equation version of the solution: First year income: 2x First year expenditure: 5y First year savings: 2x - 5y = 5000 Second year income: 3x Second year expenditure: 9y Second year savings: 3x - 9y = 0 Total saving: 5000 + 0 = 5000 Where x and y are variables representing the first year income and expenditure, respectively.
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