Question : Swastik saves 20% of his income while spending the remaining amount on food, rent, education, and shopping. 15% of the income is spent on food, while INR 12,800 is spent on rent, INR 32,000 on education and INR 7,200 on shopping. The amount spent on shopping is 11.25% of the total expenditure. How much money (in INR) is spent on food?
Option 1: 9600
Option 2: 10800
Option 3: 12000
Option 4: 15000
Correct Answer: 12000
Solution :
Let the income of Swastik be 100.
Saving of 20% = 20
Expenditure = income – saving = 100 – 20 = 80
Amount spent on shopping = INR 7200
Percentage of expenditure spent on shopping = 11.25%
$\therefore \frac{11.25}{100}\times80=9\%$
Percentage of salary spent on shopping = 9%
9% of salary = 7200
So, salary = 80000
The salary of Swastik = INR 80000
Money spent on food = 15%
Thus, Money spent on food = $\frac{15}{100}\times80000= 12000$
Hence, the correct answer is INR 12000.
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