Question

a certain sum is invested for T years at simple interest of 12% per annum, it amounts to ₹400. If the
rate of interest was 4% per annum, it would have amounted to ₹200 Find T​

Answer 1

Answer:

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Answer 2

The time of the investment (T) is 25 years

Step-by-step explanation:

Given:

Time= T

rate of interest for the first investment (R1)= 12%

Amount for first investment (P1)= Rs.400

Amount for second investment (P2)= Rs.200

rate of interest for the second investment (R2)= 4%

To find:

period (T)

Solution:

We know that the time for both investments is T

So we refer to the basic formula

T =            P1 - P2           X 100

     (P2 X R1) - (P1 X R2)

∴ T =      400 - 200           X 100

        [200 (12)] - [400 (4)]

∴ T =      400 - 200           X 100

             2400 - 1600

∴ T = 200 X 100

         800

∴ T = 0.25 X 100

∴ T = 25

Thus, the value or the time period (T) is 25 years.

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