Compound interest and circle secondary education Math suggestions

Compound interest and circleSecondary school education teaching for math ( compound interest and circle)

1) same rate interest of 7 year's double of p but how many years this triple interest? 

Example p 100 tk. Interest of 7 years -p (100×2)= 200 interest of money
              7 years(200-100) =100 tk.
Interest- if its triple interest = (300-100) = 200 tk.
100 tk interest 7 years
1      "      "    " 7/100
200  "     "     " 7×100/100 = 14 years.
Answer: 14 years.
2) some tk. 8% interest 3 years provide -interest 1860 tk. After How many  year  interest 2040? 
Example: 8% rate 100 interest of 3 years (8×3) = 24 tk.
Interest - profits 124 tk. So p =100tk.
"      1  "      "      " 100/124
"     1860    "      " 100×1860/124 = 1500 tk.
Interest-p 2040 tk. Interest= (2040-1500) = 540 tk.
Interest-p 1860 tk. Interest (1860-1500) = 360 tk.
Interest 360 tk. Years of 3 .
"  1  "  "  " 3/360 years.
" 540"  "  " 3×540/360 years 9/2 years 4 1/2
Answer: 4 1/2
3) 6% interest and profits 1300 tk. Year's of 5. How many years of money 1390 tk.? 

Example: 100 tk interest of 1 years 6 tk. 1
100 tk.  5 years interest (6×5) = 30 tk.
100 tk. Years of interest and profits (100+30) = 130 tk.
Ip 130 tk so p100 tk.
"  1  "    "    "  100/130
"  1300 "    "  100×1300/130 = 1000 tk.
1000 tk  5 years interest = (1300-1000) = 300 tk.
Ip 1390 tk interest  = (1390-1000) = 390 tk.
1000 tk 300 tk interest 5 years.
1000 "   1  "   "  5/300
1000 "   390   "  5×390/300 = 13/2 or  6.5 years.
Answer: 6.5 year
4) Karim shaheb 56000 tk  he is some tk annual of interest 12% and due tk 10%  he have invested after years total tk 6400 thousand. He Have  does get .how much money ?
Example: 12% rate of interest x invested of money10% rate of interest (5600-x) tk.
100 tk 1 years intereste 12 tk.
1  "  1"   "12/100
X "   1 "  " 12×x/100 = 3x/25 tk.
100 tk 1 years interest 10 tk.
1 "   "         1 "    "  10/100
(5600-x)"  1 "    "  (56000-x) x×10/100
(56000-x)/10
Condition apply , 3x/25 + 56000-x/10 = 6400
Or, 6x+280000-5x/50 = 6400
Or, x +280000 = 320000
Ot, x = 320000-280000
So, x 40000 .

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Simple compound interest

Simple compound interestSecondary school education and math learning point ( simple and Compound interest)

1) annual purchase 5.00 rate of interest How many time of interest 300 tk.  সমand 300  profits 405 tk.

Example : interest =interest and profits -p  ,so interest = ( 405-300) = 105 tk
100 tk 5 interest 1 year.
1     "  1   "   "  1×100/5
300 "  105   "  1×100×105/5×300 =7 year .
Answer: 7 year.
2) 6,666 annual 10% interest How many will be 23332 tk?
Example: interest = interest p  - profits
 so= (13332-6666) = 6666 tk
10% interest , 100 tk 1 year interest 10 tk
1   "   "  1  " 10/100
6666"    1  "  10×6666/100 = 666.6 tk
Answer: 666.6 tk.
3) 8,888 annual 10% interest How many years Will be interest and profits 17,776 tk?
Example: interest= ip  - p so interest = (17,776-8888) = 8888 টাকা
10% 100 tk 1 year of interest 10 tk.
1   "   1   "   10/100
8888 "  1  "  10×8888/100 = বা 888.8 টাকা
নির্ণয়ে সময় 8888/888.8 = 10 বছর
Answer: 10 years.
4) annual 8% rate of interest How many years Will be interest and profits? 
Example: p 100 tk  interest  100 tk.
Time = 100/8 year = 12 .5
Answer: 12.5
5) annual 5 rate of interest.how many years Will be interest more than profits? 
Example: p 100 tk it will be interest and profits (100×2) = 200 tk.
Interest = (200-100) = 100 tk.
Time 100/10 years = 10 years
Answer:10 year.
6) annual 10 tk rate of interest.how many years Will be profits more than interest? 
Example: profits 100 tk it will be interest and profits =(100×3)= 300 tk.
Interest= (300-100)= 200 tk.
Time = 200/10 yeari= 20 year.
Answer:20 year.

                            

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Compound interest secondary education Math suggestions

Compound interest

Secondary school education and math learning point ( simple and Compound interest)

 Simple and compound interest
 Every year invest of money that get a extra money it's meaning to the interest.

principal/capital/sum
That keeps to deposit or browed money has invested of bussines it's meaning principal money (Amount)
Interest and principal money . actually said principal money with  added it mean principal money. Okay? 
Interest-pricipal money= principal money+interest.
Rate of interest
Depending of any fixed deposit and for fix time. That gives money it mean said rate of  interest notable 100 tk interest of 1 year it's meaning rate of interest. It said that annual or purchased rate of interest . annual interest rate such as rate 4% or 4 tk in has published on the report.
Classification of interest
*Simply interest
*Compound or circle inty
simple interest
Simply interest give for interest every year .but it didn't added with simple interest so it remains to same. 
*Interest (I)=principal money(P)×time(n)×rate of interest (r)
*Meaning(I)=Pnr
*Interest and principal money (A)=principal money(P)+interest(I)
*Meaning A=P+I বা , A=P+Pnr or, A=P(1+nr)
       Interest.
1/ 100 tk  interest of 1 year 5 tk . 200 tk  How much of interest 2 year's?
Example :100 tk 1 year interest 5 tk.
1     "   1  "     "  5/100
200 "   2  "     " 5×200×2/100
Or, 20 tk.
2/annual rate of interest 10.50 tk 2000 tk  how will be  interests of 5 year.?
Example : 100 tk 1  year of interest 10.50 tk.
1     "    1  "    " 10.50/100
200 "    5  "    " 10.50×5×2000/100
Or, 1050 tk.
3/ annual 5% rate 750 How will be interest of 4 year's?
Example: There principal money P = 750 tk. Time  n= 4 years r= year 5%  interest= I ?
I= Pnr = (750×4×5/100)= 150 tk.

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