Total salary in 2016 be INR y

According to the given information:

The ratio on saving in the year 2013 and 2016 are in the ratio 3 : 5.

[latex]\Rightarrow = \frac {15% of x}{35% of y} = \frac {3}{5}[/latex]

[latex]\Rightarrow = \frac {x}{y} = \frac {3}{5} \times \frac {35}{15} = \frac {7}{5}[/latex] _______ (1)

∴ Ratio of EMI expenses = [latex]\frac {40% of x}{15% of y}[/latex]

⇒ Ratio of EMI expenses = [latex]\frac {0.4 x}{0.15 y}[/latex]

Now taking the values of [latex]\frac {x}{y}[/latex] from (1)

⇒ Ratio of EMI expenses = [latex]\frac {7}{5} \times \frac {40}{15} = 56 : 15[/latex]

Hence, the required ratio is 56: 15

⇒Saving in 2014 = 50% of 1, 85,000

⇒Saving in 2014 = INR 92,500

According to the given information:

The saving in 2012 is [latex] \frac {4}{5}[/latex] th of the saving in 2014

∴Saving in 2012 = [latex] \frac {4}{5}[/latex] × 92,500 = INR 74,000

Let the total expense in 2012 be INR x

∴35% of x = 74,000

⇒ x = [latex]\frac {74000 \times 100}{35}[/latex]

Now, expenditure on food in 2012 is 21% of x

⇒Expenditure on food in 2012 = [latex] \frac {74000 \times 100}{35} \times \frac {21}{100}[/latex]

⇒Expenditure on food in 2012 = INR 44,400

According to the given information:

Every year there is an increase of 100% in monthly salary as compared to previous year’s monthly salary

Then salary in 2014 = INR 200

⇒Salary in 2015 = INR 400

⇒Salary in 2016 = INR 800

Now, expenses on travelling in 2013 = 32% of salary

⇒Expenses on travelling in 2013 = INR 32

∴ Required ratio = [latex] \frac {800}{32}[/latex] = 25: 1

There is an increase of 18%

∴Total expense in 2012 = 3, 00,000 + 18% of 3,00,000

⇒Total expense in 2012 = INR 3, 54,000

Now, Expense on travelling in 2012 = 18% of 3, 54,000

⇒Expense on travelling in 2012 = INR 63,720

EMI expense in 2012 = 26% of 3, 54,000

⇒EMI expense in 2012 = INR 92,040

Combine expense = 63,720 + 92,040 = INR 1, 55,760

Average money spend by Sunil on food = [latex]\frac {104}{5}[/latex] = 20.8% of 5, 00,000

⇒Average money spend by Sunil on food = INR 1, 04,000

Now, Money saved by Sunil = 35% + 15% + 50% + 17% + 35%

Average money saved by Sunil = [latex]\frac {152}{5}[/latex] = 30.4% of 5, 00,000

⇒Average money saved by Sunil = INR 1, 52,000

∴Required ratio = ≈68%

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