Question

Find the amount and compound intrest on ₹12800 for one year at 15by2%per annum compounded semi-annually

Answer 1

Answer:

The amount in account after 1 years is Rs 13734.4

Step-by-step explanation:

Given as :

The principal = p = Rs 12800

Time period = t = 1 year

Rate of interest = $\dfrac{15}{2}$ % compounded semi-annually

i.e r = 7.2 %

Let The amount after 1 year = Rs A

From compound Interest

Amount = Principal × $(1+\dfrac{rate}{4\times 100})^{4\times time}$

Or, A = p × $(1+\dfrac{r}{4\times 100})^{4\times t}$

Or, A = 12800 × $(1+\dfrac{7.2}{4\times 100})^{4\times 1}$

Or, A = 12800  × $(1.018)^{4}$

Or, A = 12800  × 1.073

∴ Amount = Rs 13734.4

So, The amount in account after 1 years = A = Rs 13734.4

Hence, The amount in account after 1 years is Rs 13734.4  Answer