A sum of money at simple interest doubles itself in 4 years in how much time will it triple itself
Answers
Answer: 8years, R=25%
Explanation:p =100, A=200 T=4year
SI=A-P=200-100=100
T=SI×100/P×T
100×100/100×4=50%,
R=25%
P=100, let A=300
SI=A-P=300-100=200
T=SI×100/P×R=200×100/100×25=8 Year
A sum of money at simple interest doubles itself in 4 years in 8 years it will triple itself.
Given:
A sum of money at simple interest doubles itself in 4 years.
To find:
The time at which it becomes triple.
Solution:
We know that simple interest = S.I. = (P*R*T)/100.
Where, P = Principle amount
R = Rate of interest
T = Time.
and A = P + S.I.
given that A = 2P
now,
S.I. = A - P
= 2P- P
= P
NOW, S.I. = (P*R*4)/100
=(P*R)/25
P = (P*R)/25
R = 25.
If A = 3P,
then, S.I. = 3P-P
= 2P
Here, S.I. = (P*R*T)/100
= (P*25*T)/100
From above,
2P = (P*T)/4
T = 4*2
T = 8 YEARS
A sum of money at simple interest doubles itself in 4 years in 8 years it will triple itself.
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