in how many years will rs. 6750 amount to rs. 8000 at 5 percent S.I. ? the answer is 3 years 8 months 13 and half days but i don't know the process please give answer.
you are solving,
6750(1.05)^t = 8000
1.05^t = 1.185185..
take log of both sides, and use log rules
t = log 1.185185.../log 1.05 = 3.482239
so that is 3 years and .482239 years
multiply the decimal part by 12 to get
3 years, 5.7868.. months
so 3 years, 5 months and .7868 months
multiply the decimal by 30
= 3 years, 5 months, and appr 24 days
which is not the answer.
What does S.I. stand for ?
if it continuous at 5%, then
6750 e^.05t = 8000
take ln of both sides
.05t = ln 1.185185..
t = 3.39798.. which is even less of a time than above.
ahhh, does S.I. mean simple interest???
let's see
6750 + 6750(.05)t = 8000
337.5t = 1250
t = 3.7037 years
= 3 years, .7037(12)months
= 3 years, 8.4444months
= 3 years, 8 months + .444.. months
= 3 years, 8 months, and 13.3333 days
= 3 years, 8 months and 13 1/3 days
Who still uses simple interest for times greater than 1 year ??
S.I =A-P
=8000-6750
=1250
S.I=PTR/100
T=SI *100/P*R
= 125000/6750*5
= 3.7037
3years .....
This is a very helpful answer for mine
Tomorrow is.my exam
Please solve
To find out the number of years it will take for an amount of Rs. 6750 to grow to Rs. 8000 at an interest rate of 5% per annum, you need to use the formula for simple interest:
Simple Interest (SI) = (Principal Amount (P) * Rate of Interest (R) * Time (T)) / 100
In this case, the principal amount (P) is Rs. 6750 and the simple interest (SI) is Rs. 8000 - Rs. 6750 = Rs. 1250. The rate of interest (R) is 5%, and we want to find the time (T) it takes.
Let's put these values into the formula and solve for T:
SI = (P * R * T) / 100
1250 = (6750 * 5 * T) / 100
1250 = 337.5 * T
To isolate T, divide both sides of the equation by 337.5:
T = 1250 / 337.5
T ≈ 3.70
The value of T represents the number of years it will take to grow the amount to Rs. 8000. Since we're dealing with time, you can approximate the decimal part as months and days.
Now, converting 0.70 years to months and days:
1 year = 12 months
0.70 years ≈ 0.70 * 12 ≈ 8.4 months
Converting the decimal part (0.4) into days:
1 month = 30 days
0.4 months ≈ 0.4 * 30 ≈ 12 days
Therefore, the final answer is approximately 3 years, 8 months, and 12 days.
Note: The exact number of days might be slightly different due to variations in the number of days each month and leap years.