Question : Christy donated 10% of his income to an orphanage and deposited 20% of the remainder in his bank. If he now has Rs. 7,200 left, what is his income?
Option 1: Rs. 10,000
Option 2: Rs. 8,000
Option 3: Rs. 9,000
Option 4: Rs. 8,500
Correct Answer: Rs. 10,000
Solution :
Let Christy's income be 100 units.
After depositing 10%, he had left = (100 – 10) = 90 units
After depositing 20% of the remaining,
Amount left = $90×\frac{80}{100} = 72$ units
According to the question,
72 units = Rs. 7200
$\therefore$ 1 unit = ($\frac{7200}{72})$ = Rs. 100
So, Christy's income (100 Units) = (100 × 100) = Rs. 10,000
Hence, the correct answer is Rs. 10,000.
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