Question

[73] A compound interest on a sum for 2
years is 30 more than the simple
interest at the rate of 5% per annum
then the sum is​

Answer 1

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Answer 2

Answer:

The sum is RS. 12,000

Step-by-step explanation:

Let Principle (P) be Rs x

Time (t)= 2 yrs.,Rate (r) =5% p.a

According to the problem,

C.I  - 30 =S.I

P{$(1+r/100)^{t}$ - 1}-30 = (p×r×t)/100

x{$(1+5/100)^{2}$- 1) - 30 = (x× 5×2)/100

x{$(1+0.05)^{2}$-1 }- 30 = x/10

 x {1.1025- 1)-30 = 0.1 x

 0.1025x - 0.1x =30

0.0025x = 30

             x= 30/0.0025

             x= 12,000