Question

Question 01 Title: Simple profit and compound profit of Deposit Scheme in Co-operative Society. case of Simple profit: In 1. Principal of Deposit Scheme, P=Tk15000 2. Time period of Deposit Scheme, n=3 yrs 3. Rate of interest, r= 9% (a) Profit, after the time period of Deposit Scheme (3 years). I =? (b) Profit-Principal, after certain time period as given in step "2", A= ? In case of Compound Profit: 1. Principal of Deposit Scheme, P = Tk15002. Time period of Deposit Scheme, n=3 yrs 3. Rate of interest.r = 9% (a) Compound Principal at the end of 1 year (mentioning formula) = ? (b) Compound Principal at the end of 2 years (mentioning formula) = ? (c) Compound Principal at the end of 3 years (mentioning formula) =? (d) Compound Profit after certain time period (3 years) = ? (e) Determine the difference between Compound profit and Simple profit after certain time period (3 years), In Co-operative Society Deposit Scheme, which one you think to be convenient Simple profit system or Compound profit system? Short Questions: 1. 2. Find the algebraic expression of the pattern: 6, 11, 16, 21. What will be the number of sticks in the next figure? Draw the figure. 3. What is called One Metre? 4. Write two units used in measuring heavy weight materials. 5. 10 acre = how many sq.metrs? 6. 160 centimeter = how many inches ? 7. Volume of a house is 768000 cubic cm and air is 0.00129 times heavier then water. What is the amount of air in the house in kilogram?​

Answer 1

Given : P = 15000 , R = 9 %  T= 3 years

To Find :Simple interest and compound  interest using simple interest formula

Which one is better Simple interest or compound  interest

Solution:

SI = P x R x T /100

=> SI = 15000 x 9  x 3 /100  =  4050

SI in 1st Year = 15000 x 9  x 1 /100  =  1350

P = 15000 + 1350 = 16350

SI in 2nd Year = 16350 x 9  x 1 /100  =  1,471.5

P  = 16350 + 1,471.5 = 17,821.5

SI in 3rd Year = 17,821.5 x 9  x 1 /100  =  1,603.94

Total Interest =  1350  +  1471.5 + 1603.94  = 4,425.44

4,425.44 > 4050

Hence Compound   is better option

6, 11, 16, 21

a = 6  , d = 5

a + ( n- 1)d   = 6 + (n - 1) 5

= 6 + 5n - 5

= 5n + 1

5n + 1   is algebraic expression of the pattern:  

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