a) 2.5 years
b) 3 years
c) 3.5 years
d) 3.9 years
correct answer is: b) 3 years
Explanation
Here,
Principal = ₹525
Amount = ₹651
Rate = 8 %
Let, Time = ‘t’
We know,
Amount = (principal + S.I.)
Or, Amount =\left(Principal+\frac{p\ \times\ t\ \times\ r}{100}\right)
Putting the value, we get,
651=\left(525+\frac{525\times t\times8}{100}\right)
\rightarrow651=\left(525+\frac{4200t}{100}\right)
\rightarrow651=\left(\frac{52500+4200t}{100}\right)
\rightarrow52500+4200t=65100
\rightarrow\ 4200t=65100-52500
\rightarrow4200t=12600
\rightarrow t=\frac{12600}{4200}
\rightarrow t=3
So, time = 3 years
Ans: An amount of ₹525 would become ₹651 under a simple interest rate of 8% per annum in 3 years.
This particular question can also be asked in the following way:
1. Calculate the time required for an amount of ₹525 to grow to ₹651 at a simple interest rate of 8% per annum.
2. Find out how many years it takes for ₹525 to become ₹651 with a simple interest rate of 8% per annum.
3. Determine the number of years needed for an investment of ₹525 to reach ₹651 at a simple interest rate of 8% per annum.
4. What is the duration required for ₹525 to accumulate to ₹651 with an 8% per annum simple interest rate?
5. Calculate the time it takes for an amount of ₹525 to reach ₹651 with an annual simple interest rate of 8%.