Question : After deducting 20% from a certain sum, and then 10% from the remainder, there is INR 7,200 left. Find the original sum.
Option 1: INR 9,000
Option 2: INR 10,000
Option 3: INR 7,500
Option 4: INR 7,800
Correct Answer: INR 10,000
Solution :
Let $x$ be the total money.
First deduction = 20% of $x$
Money left after first deduction = 80% of $x$ = $\frac{4x}{5}$
Second deduction = 10% of $\frac{4x}{5}$
Money left after second deduction = 90% of $\frac{4x}{5}$ = $\frac{36x}{50}$
According to the question,
$\frac{36x}{50}=7200$
$\therefore x=\frac{7200×50}{36}=10000$
Hence, the correct answer is INR 10,000.
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