Question

What sum of money should be invested for 5years AR 8% p.a.to earn the same interest as 3600 at 10%p.a.for 4 years

Answer 1

P= ?, R= 8%p.a., T= 5 yrs, P'= ?, R'= 10% p.a. , T'= 4 yrs
Now, P=P'
⇒(P×R×T)÷100=3600=(P'×R'×T')÷100                                             ------------(1)
From Eqⁿ (1)
⇒(P×R×T)÷100=3600
⇒P×8×5=360000
⇒P = 9000                                                               (dividing 360000 by 40)
Since P= P'
P=P'= rs. 9000

Answer 2

Sum of money is Rs.3600/-

Step-by-step explanation:

For case(ii),

P = 3600

R = 10 %

T = 4

SI = ?

SI = $\frac{P\times R\times T}{100}$

SI = $\frac{3600\times 10\times 4}{100}$

SI = 1440

For case(i), SI = 1440, R = 8 % , T = 5 Years

Then,

SI = $\frac{P\times R\times T}{100}$

1440 = $\frac{P\times 8\times 5}{100}$

P = $\frac{100\times 1440}{8\times 5}$

P = Rs.3600/-

Sum of money is Rs.3600/-