Question

if rs 360 amounts to rs 532.80 in 3 years. what will rs 720 amount in5 1/2 years at the same rate percent per annum​

Answer 1

Answer:

The amount after 5.5 years at the rate of interest 13.9 is Rs 1473.03

Step-by-step explanation:

Given as :

Principal amount = $p_1$ = Rs 360

Amount after 3 years = $A_1$ = Rs 532.80

The time period = t = 3 years

Let The rate of interest = r %

From compound interest

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

Or, $A_1$ = $p_1$ × $(1+\dfrac{\textrm r}{100})^{\textrm 3}$

Or, 532.80 = 360 × $(1+\dfrac{\textrm r}{100})^{\textrm 3}$

Or, $\dfrac{532.80}{360}$ =  $(1+\dfrac{\textrm r}{100})^{\textrm 3}$

Or, 1.48  =  $(1+\dfrac{\textrm r}{100})^{\textrm 3}$

Or, 1 + $\dfrac{r}{100}$ = 1.139

Or, $\dfrac{r}{100}$ = 1.139 - 1

Or, r = 13.9

Again

Principal amount = $p_2$ = Rs 720

Amount after 5$\dfrac{1}{2}$ years = Rs $A_2$

The time period = T =  5$\dfrac{1}{2}$ years  = $\dfrac{11}{2}$ years = 5.5 years

The rate of interest is same = r%

Or, r = 13.9

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

Or, $A_2$ = 720 × $(1+\dfrac{\textrm 13.9}{100})^{\textrm 5.5}$

Or, $A_2$ = 720 × 2.045

∴ $A_2$ = Rs 1473.03

So, The amount after 5.5 years at the rate of interest 13.9 = $A_2$ = Rs 1473.03

Hence, The amount after 5.5 years at the rate of interest 13.9 is Rs 1473.03 Answer

Answer 2

Answer:

1353.60 is the answer my class is seventh