Question
A number is increased by 20%, and the resulting number
is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the value of x?Solution
Let the initial number be ₹x. First, the number is increased by 20%, so the new value becomes: x + 20% of x = x + 0.2x = 1.2x. Then, it is decreased by 20%, so the new value becomes: 1.2x - 20% of 1.2x = 1.2x - 0.24x = 0.96x. We are told the final value is ₹2880, so: 0.96x = 2880, x = 2880 / 0.96 = ₹3000. Correct option: a) ₹3000.
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