After deducting 20% from a certain sum, and then 10% from the remainder, there is Rs. 7,200 left. Find the original sum.
Answer & explanation
Correct answer: option 2
Let Initial Sum = 100x
Sum decreased by 20%
So remaining amount = 100x × \(\frac{4}{5}\) = 80x
Sum decreased by 10%
Amount left after 2nd deduction
So remaining amount = 80x × \(\frac{9}{10}\) = 72x
According to the question,
72x = 7200
x = 100
100x = 10,000
So , initial Sum is 10,000