elect the correct answerA sum of money (P) doubles in 10 years. In how many years it will be triples at the same rate of simple interest?
Question
Select the correct answer
A sum of money (P) doubles in 10 years. In how many years will it be tripled at the same rate of simple interest?
Solution
The problem is based on the formula for simple interest, which is I = PRT, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time.
Given that the sum of money doubles in 10 years, we can say that the interest earned in 10 years is equal to the principal amount. So, P = P * R * 10. From this, we can find that R = 1/10 = 0.1 or 10%.
Now, we want to find out when the sum of money will triple. This means that the interest earned will be twice the principal amount (since the principal amount plus twice the principal amount gives us three times the principal amount). So, we have 2P = P * R * T. Substituting the value of R from above, we get 2P = P * 0.1 * T.
Solving for T, we get T = 2P / (P * 0.1) = 20 years.
So, the sum of money will triple in 20 years at the same rate of simple interest.
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