Question : Aastha spends 15% of her total income on travelling and 20% of the rest income on food and then donates INR 380 and after that, she saves INR 2,000. Find her total income (in INR).
Option 1: 3,500
Option 2: 3,650
Option 3: 3,800
Option 4: 3,600
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Correct Answer: 3,500
Solution :
Let the total income be $100x$
Now, Percentage of income for travelling = $15\%$ of $100x = 15x$
Remaining income = $100x-15x=85x$
Percentage spent on food = 20% of the remaining amount after spending on travel = $20\%$ of $85x =17x$
Remaining income after spending on food and travelling = $85x-17x=68x$
Amount spent on donation and savings = $2000+380=2380$
So, $68x=2380$
⇒ $x=35$
Her income = $100x=100\times 35 = 3500$
Hence, the correct answer is 3,500.
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