Question

the simple interest on rupees 800 when invested at a certain rate of interest per annum for 4 years is equal to that on rupees 625 an investor for 8 years at a rate of 4% per annum find the rate of interest per annum in the first case​

Answer 1

Step-by-step explanation:

P1 = ₹800

R1 = ?

T1 = 4 years

P2 = ₹625

R2 = 4%

T2 = 8 years

Now, according to the question,

(800 × 4 × R1)/100 = (625 × 4 × 8)/100

=> 800 × 4 × R1 = 625 × 4 × 8

=> R1 = (625 × 4 × 8)/(800 × 4)

=> R1 = 20000/3200

=> R1 = 6.25 %

The rate percent in the first case was 6.25%.

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Answer 2

Answer:

Let the required period of time be t years.

Then according to the question, we have

⇒

100

500×4×6.25

=

100

400×t×5

⇒t=

400×5/

500×4×6.25 years

⇒6.25 years or 6

41 years