A number is increased by 20% after every 10 days. Find the percentage change in value of the number after 40 days.
A number is increased by 20% after every 10 days. Find the percentage change in value of the number after 40 days. Correct Answer 107.36%
Let the value of the number be 100. The value of the number after 10 days = 100 + 20% of 100 = 120 The value of the number after 20 days = 120 + 20% of 120 = 120 + 24 = 144 The value of the number after 30 days = 144 + 20% of 144 = 144 + 28.8 = 172.8 The value of the number after 40 days = 172.8 + 20% of 172.8 = 172.8 + 34.56 = 207.36 The difference between the initial value and the final value = 207.36 – 100 = 107.36 Percentage change = 107.36 / 100 * 100 = 107.36%
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Feb 20, 2025