Question

A sum of money triples itself in 8 years at a certain rate of SI. How long will it take for it to become 5 times at the same rate of interest?​

Answer 1

Let sum of money or principle amount be P.

Thus, according to question, we have

3P = PRT / 100 + P

Given ,

T = 8 years

So , we have

3P - P = PR × 8 / 100

2P × 100/ 8 × P = R

25 = R

Thus rate of interest or R is 25% per annum.

Now in second case, we have

5P = PRT / 100 + P

Its given in question that rate of interest is to be kept the same.

So , we have

5P - P = P × 25 × T / 100

4P × 100 / 25 × P = T

16 = T

Thus required time is 16 years.

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Answer 2

Answer:

according to me

if the money get triple in 8yrs means

for eg take 1₹ as sum of money

and then it get triple means the 1₹ get 3₹in 8yrs

for 1₹it take 4yrs

for 2₹it take 8yrs

so we have to find how many year it took to get 5₹ but 1₹is already we considered as some amount

means we have to find for 4₹ so

for 1₹it take 4yrs

so 4×4=16

means for 4₹it took 16yrs