## Simple Interest & Compound Interest Concepts for SSC And Railway Exam:

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__Simple Interest & Compound Interest__**1. If a certain sum in T years at R% per annum amounts to Rs. A, then the sum will be**

__Simple Interest__2. The annual payment that will discharge a debt of Rs. A due in T years at R% per annum is .Annual payment=

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

__Compound Interest__1. (a) The amount A due after t years, when a principal P is given on compound interest at the rate R% per annum is given by

2. If the interest is compounded half-yearly, then

3. If the interest is compounded quarterly, then

5. When the time is given in the form of fraction, say 23/4 years, then,

6. (a) The difference between the compound interest and the simple interest on a certain sum of money for 2 years at R% per annum is given by

(b) The difference between the compound interest and the simple interest on a certain sum of money for 2 years at R% per annum is given by

7. If a certain sum becomes n times in t years at compound interest, then the same sum becomes n^m times in mt years.

8. If a certain sum becomes n times in t years, then the rate of compound interest is given by

9. If a certain sum of money at compound interest amounts to Rs. x in A years and to Rs. y in B years, then the rate of interest per annum is

10. If a loan of Rs. P at R% compound interest per annum is to be repaid in n equal yearly instalments, then the value of each instalment is given by