Question

What is the principal, it amount to ₹ 3528 at 5p.c.p.a.compound interest for 2 years ?

Answer 1

Answer:

The principal amount is 3,200 Rs.

Step-by-step explanation:

Given that-

Compound money (A) = 3528 Rs

Rate (r) = 5%

Time (n) = 2 years

Principal amount (P) = ?

We know that-

$A = P[1 + \frac{r}{100}]^{n}$

Where A = compound amount

P = principal amount

r = rate of interest

n = time

$3528 = P[1+\dfrac{5}{100} ]^{2}$

$3528  = P[1+\dfrac{1}{20} ]^{2}$

$3528 = P[\dfrac{21}{20} ]^{2}$

$3528 = \dfrac{P \times441}{400}$

$P = \dfrac{3528 \times400}{441}$

$P = \dfrac{1411200}{441}$

P = 3,200 Rs

Hence, the principal amount is 3,200 Rs.