Question

in what time will rupees 64000 amount to Rupees 70560 at 5% per annum interest being compounded annually​

Answer 1

Answer:

$t = \frac{100 \times s.i.}{principal \times rate \: of \: interest}$

s.i.= amount-principal

= 70560-64000

= 6560

$t = \frac{100 \times 6560}{64000 \times 5}$

refer to the attachment

$t = 2.5 = 2 \frac{1}{2} year$

hope this helps you

warm regards

@naira017

Answer 2

After 2 years the amount will be rs 70560.

Step-by-step explanation:

Since, the amount formula in compound interest,

$A=P(1+r)^t$

Where,

P = principal amount,

r = rate per period,

t = number of period,

Here, P = 64000 rupees, A = 70560, r = 5% = 0.05,

By substituting the values,

$70560 = 64000(1+0.05)^t$

$\frac{70560}{64000}=1.05^t$

$1.1025=1.05^t$

Taking ln both sides,

$\ln (1.1025) = t\ln (1.05)$

$\implies t =\frac{\ln(1.1025)}{\ln(1.05)}=2$

Hence, after 2 years the amount will be rs 70560.

#Learn more:

Find compound interest :

https://brainly.in/question/7651324