After deducting10% from sum and then 20% the remainder₹3600 are left.Find the original amount
Let original amount be A.
A(1-0.1)(1-0.2)=₹3600
Original amount
=₹3600/[(0.9)(0.8)]
=₹5000
Let's assume the original amount is X.
Deducting 10% from X gives 90% of X, which can be written as 0.9X.
Then, deducting 20% from 0.9X gives 80% of 0.9X, which can be written as 0.8 * 0.9X.
According to the problem,
0.8 * 0.9X = ₹3600.
To find the original amount X, we need to solve the above equation.
0.8 * 0.9X = ₹3600
0.72X = ₹3600
X = ₹3600 / 0.72
Calculating,
X = ₹5000.
Therefore, the original amount is ₹5000.
To find the original amount, we need to reverse the process of deducting percentages.
Let's assume the original amount is 'A'.
Step 1: Deducting 10%
When we deduct 10% from 'A', we are left with 90% of 'A'. So, the amount after deducting 10% is 0.9A.
Step 2: Deducting 20%
From the remainder after step 1, we deduct 20%. This can be represented as 0.9A - (0.2 * 0.9A).
According to the problem, the remainder after this step is ₹3600. So, we can set up the equation:
0.9A - (0.2 * 0.9A) = ₹3600
Simplifying this equation:
0.9A - 0.18A = ₹3600
Combining like terms:
0.72A = ₹3600
To isolate A, we divide both sides of the equation by 0.72:
A = ₹3600 / 0.72
Calculating the value:
A = ₹5000
Therefore, the original amount is ₹5000.