Question

Find the number of years when a certain sum at simple interest ,triples itself at 10%per annum ?

Answer 1

Answer:  The required number of years is 20.

Step-by-step explanation:  We are given to find the number of years when a certain sum at simple interest ,triples itself at 10%per annum.

Let P be the sum that triples itself in n years at the rate of 10% per annum.

Then, according to the formula of Simple Interest, we have

$3P-P=\dfrac{P\times n\times 10}{100}\\\\\\\Rightarrow 2P=\dfrac{10Pn}{100}\\\\\\\Rightarrow 2=\dfrac{n}{10}\\\\\Rightarrow n=2\times10\\\\\Rightarrow n=20.$

Thus, the required number of years is 20.

Answer 2

Step-by-step explanation:

3P - P = p × t × 10

2P = 10Pn/100

2 = n/10

n = 2×10 = 20

the required time is 20 years