sharda opened a recurring deposit account of rs 200 per month at 10% per annum. if she gets rs 6775 at the time of maturity. find the maturity period
I want the answer plz give it
Answers
Answer:
Step-by-step explanation:
p= rs. 200
r%=10%
let the time period be "x"
I= P*n{n+1}*r% / 2*12*100
= 200 * X {X+1}*10 / 2*12*100
= X{X+1}*5 / 6
= 5X^2+5X / 6
M.V = P*n + I
6775 = 200*X + 5X^2 + 5X / 6
6775 = 6*200X +5X^2 + 5X / 6
6775 = 1200X +5X + 5X^2 / 6
6775*6= 1205X + 5X^2
40650 = 1205X + 5X^2
divide on both the sides by 5 since it is divisible and do so until it is not divisible by any number
8130 = 241X + X^2
X^2 + 241X - 8130=0
factorize 8130 to get 241 as the answer { see the pic if you don't know }
x^2 - 30x + 271x - 8130
x { x - 30} + 271 { x - 30}
{ x-30 } { x + 271}
neglect negative periods
x= 30 months
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Answer:
Step-by-step explanation:
p= rs. 200
r%=10%
let the time period be "x"
I= P*n{n+1}*r% / 2*12*100
= 200 * X {X+1}*10 / 2*12*100
= X{X+1}*5 / 6
= 5X^2+5X / 6
M.V = P*n + I
6775 = 200*X + 5X^2 + 5X / 6
6775 = 6*200X +5X^2 + 5X / 6
6775 = 1200X +5X + 5X^2 / 6
6775*6= 1205X + 5X^2
40650 = 1205X + 5X^2
divide on both the sides by 5 since it is divisible and do so until it is not divisible by any number
8130 = 241X + X^2
X^2 + 241X - 8130=0
factorize 8130 to get 241 as the answer { see the pic if you don't know }
x^2 - 30x + 271x - 8130
x { x - 30} + 271 { x - 30}
{ x-30 } { x + 271}
neglect negative periods
x= 30 months