What sum of money will amount to 3900 in 4 years at the rate of 7.5% per annum?
Answers
Answer:
let the sum is Rs x
then ,
x+ x.4.7.5/100=3900
=> x+30x/100=3900
=> 130x=3900×100
=> x=3900×100/130
=> x=30×100
=> x=3000
the sum of money is Rs 3000
Principal = Rs. 3900
Rate = 7.5%
Time = 4 years
What to find?
We have to find the amount.
To find the amount we will have to find the simple interest using the formula SI=\frac{PRT}{100}SI=100PRT
and
then find the amount using the formula A=SI+PA=SI+P .
Solution:
Using the formula,
⇒ SI=\frac{PRT}{100}SI=100PRT
Substitute the values,
⇒ SI=\frac{3900*7.5*4}{100}SI
=1003900∗7.5∗4
Cancel zeros in 3900 and 100
⇒ SI = 39 × 7.5 × 4
Multiply the numbers in RHS,
⇒ SI = Rs. 1170
Now find the amount,
⇒ A = SI + P
Subtitute the values,
⇒ A = Rs. 1170 + Rs. 3900
Add the sum,
⇒ A = Rs. 5070
∴ So, the amount is Rs, 5070.
i hope it will help you