Question

If a certain sum of money amounts to Rs 4500 in 5 years and Rs 6750 in 10 years, find principal.
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Answer 1

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+R1/00)2...1

Case2: 6750

=p(1+R/100)4...1

By dividing eq. 2, by eq. 1

6750/4500=(1+R/100)2

3/2=(1+R/100)2...3

From eq. 1

4500=P×3/2

P= Rs.3000

Hence,Required principal

=Rs. 3000