A sum of money becomes 3 times itself in 12 years. In how many years it will become 5 times at the same rate of simple interest ?
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Step-by-step explanation:
Given:
A sum of money becomes 3 times itself in 5 years.
Concept used:
Simple interest, SI = P × R × T/100
Where P is principal, R is the rate of interest and T is the time period.
Amount, A = P + SI
Calculation:
Amount, 3P = P + P × R × 5/100
2P = 5PR/100
Or, 40%
Amount = 5P = P + 40% × P × T/100
4P = 4PT/10
Or, T = 10 years
∴ Time taken for amount to become 5 times itself is 10 years.
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