**Simple Interest **

**Simple Interest Formula**

1. If a certain sum in T years at R% per annum amounts to Rs. A, then the sum will be

2. The annual payment that will discharge a debt of Rs. A due in T years at R% per annum is .

Annual payment=

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3. If a certain sum is invested in n types of investments in such a manner that equal amount is obtained on each investment where interest rates are R₁, R₂, R₃ ……, R_n, respectively and time periods are T₁, T₂, T₃, ……, T_n, respectively, then the ratio in which the amounts are invested is

4. If a certain sum of money becomes n times itself in T years at simple interest, then the rate of interest per annum is

5. If a certain sum of money becomes n times itself at R% per annum simple interest in T years, then

6. If a certain sum of money becomes n times itself in T years at a simple interest, then the time T in which it will become m times itself is given by

7. Effect of change of P, R and T on simple interest is given by the following formula:

8. If a certain sum of money P lent out at SI amounts to A₁ in T₁ years and to A₂ in T₂ years, then

9. If a certain sum of money P lent out for a certain time T amounts to A₁ at R₁ % per annum and to A₂ at R₂ % per annum, then

10. If an amount P₁ lent at the simple interest rate of R₁ % per annum and another amount P₂ at the simple interest rate of R₂ % per annum, then the rate of interest for the whole sum is

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