Rs 14000 is invested at 4 % per annum simple interest . How long will it take for the amount to reach Rs 16240. (Plz answer step by step accourding to class 7 standard).
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Answered by
78
p=14000
r=4%
amt=16240
T=?
hence,SI=amt-p
SI=16240-14000=2240
T=(100*SI)/(p*r)
T=(100*2240)/(14000*4)
T=224000/56000
T=4
hence,T=4yrs
r=4%
amt=16240
T=?
hence,SI=amt-p
SI=16240-14000=2240
T=(100*SI)/(p*r)
T=(100*2240)/(14000*4)
T=224000/56000
T=4
hence,T=4yrs
GokuBlack:
Thankyou very much for helping me
Answered by
20
Q. Rs 14000 is invested at 4 % per annum simple interest . How long will it take for the amount to reach Rs 16240
Ans : 4 years
Solution :
Principal : Rs 14000
Interest per annum at 4% =
![4 \div 100 \times 14000 \\ = 560 4 \div 100 \times 14000 \\ = 560](https://tex.z-dn.net/?f=4+%5Cdiv+100+%5Ctimes+14000+%5C%5C++%3D+560)
Now, we know the amount of interest within one year.
Again, Amount in two years = 560+560
= 1120
Amount in three years = 1120+560= 1680
And Amount in four years = 1680+560 = 2240
Now add up the Principal with the amount of interest within four years
![14000 + (560 \times 4) \: {which \: is \: 2240} \\ \\ \: \: 14000 \\ + 2240 \\ \\ = 16240 14000 + (560 \times 4) \: {which \: is \: 2240} \\ \\ \: \: 14000 \\ + 2240 \\ \\ = 16240](https://tex.z-dn.net/?f=14000+%2B+%28560+%5Ctimes+4%29+%5C%3A+%7Bwhich+%5C%3A+is+%5C%3A+2240%7D+%5C%5C+++%5C%5C++%5C%3A++%5C%3A+14000+%5C%5C++%2B+2240+%5C%5C++%5C%5C++%3D+16240)
In order to get 16240, we multiplied the amount of interest in one year with four (i.e., 560x4)
The required time period is 4 years.
Ans : 4 years
Solution :
Principal : Rs 14000
Interest per annum at 4% =
Now, we know the amount of interest within one year.
Again, Amount in two years = 560+560
= 1120
Amount in three years = 1120+560= 1680
And Amount in four years = 1680+560 = 2240
Now add up the Principal with the amount of interest within four years
In order to get 16240, we multiplied the amount of interest in one year with four (i.e., 560x4)
The required time period is 4 years.
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