Question : Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he has Rs. 12800 now, what is the income (in Rs.) of Amit?
Option 1: 18000
Option 2: 20000
Option 3: 24000
Option 4: 32000
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Correct Answer: 20000
Solution :
Let the income of Amit be Rs. $100x$.
After donating 20% of income to school, the remaining amount = $80x$
After depositing 20% of his remaining income to the bank, he has = $80x×\frac{80}{100}=64x$
Now, as per the question,
$64x = 12800$
$\therefore x=\frac{12800}{64} = 200$
Income of Amit $=100x = 100 × 200 = 20000$
Hence, the correct answer is 20000.
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