Question

A sum of money becomes rs. 4500 after two years and rs. 6750 after 4 years on compound interest. the sum is:

Answer 1

time 1 = 2 year
amount(A2) =Rs 6750
time 2 = 4years
let the rate% =R%
Principal= Rs p
A/q
4500= p ( 1+R/100)² .......(i)
6750= p(1+R/100) power 4 .......(ii)
By adding equation (ii) by the equation...
6750/4500= (1+R/100)²...(iii)
From equation (i) & (ii)
4500= P*3/2
P = 4500*2/3
now we divide 4500 by 3 we get 1500
then 1500 *2=3000
we get principal =3000
and the C.I = 4500

Answer 2

Answer:

Step-by-step explanation:

A) Rs. 4000

B) Rs. 2500

C) Rs. 3000

D) Rs. 3050

Correct Answer:

C) Rs. 3000

Description for Correct answer:

Amount(A1) = Rs.4500,

t1= 2 years

Amount(A2) = Rs.6750,

t1= 4 years

Let the Rate % = R %

Principal = Rs. P

According to the question,

Case1: 4500

=p(1+R100)2...........1

Case2: 6750

=p(1+R100)4...........1

By dividing eq. 2, by eq. 1

67504500=(1+R100)2

32=(1+R100)2..........3

From eq. 1

4500=P×32

P= Rs.3000

Hence,Required principal

=Rs. 3000