The difference between compound interest and simple interest on a certain sum for
3 years at 5% per annum is 80. Find the sum.
SOLVE WITH EXPLANATION
Answers
Answer:
hiii
Step by step explaination:
The Main Principle (P) = Rs. 8000
Step-by-step explanation:
Hey Mate,
Given,
C.I - S.I = Rs. 61
Rate = 5%
Time = 3 Years
P = ?
Suppose,
P' = Rs. 100
So,
S.I = ( P' × R × T )/ 100
S.I = ( 100 × 5 × 3)/ 100
S.I = 5 × 3
S.I = Rs. 15
&
C.I = P'(1+\frac{5}{100} )^{3}-P'P
′
(1+
100
5
)
3
−P
′
C.I = 100(\frac{105}{100} )^{3}-100100(
100
105
)
3
−100
C.I = 100(\frac{21}{20} )^{3}-100100(
20
21
)
3
−100
C.I = 100(\frac{9261}{8000} )-100100(
8000
9261
)−100
C.I = (\frac{9261}{80} )-100(
80
9261
)−100
C.I = (\frac{9261-8000}{80} )(
80
9261−8000
)
C.I = (\frac{1261}{80} )(
80
1261
)
C.I = Rs. 15.7625
Difference = C.I - S.I = 15.7625 - 15 = Rs. 0.7625.
Main Difference = Rs. 61
So,
Principle (P) = (P' × 61 ) / 0.7625
P = ( 100 × 61 )/ 0.7625
P = 6100/ 0.7625
P = Rs. 8000
The Main Principle (P) = Rs. 8000
Answer: