1. Calculate the amount and C.I. if the interest is
compounded half yearly.
(b) Principal = 2560
Rate = 12 -%, Time = 1year
2
(©) Principal = 4096
Rate = 10%, Time = 18 months
Answers
S O L U T I O N :
Given:
- Principal, (P) = Rs.2560
- Rate, (R) = 12% p.a
- Time, (n) = 1 year
Explanation :
As we know that formula of the compounded half - yearly;
= Amount = Principal (1+R/2/100)^2n
A/q
=> Amount = 2560(1+ 12/2×100)^2× 1
=> Amount = 2560( 1 + 12/200)²
=> Amount = 2560(1 + 3/50)²
=> Amount = 2560(50 + 3/50)²
=> Amount = 2560( 53/50)²
=> Amount = 2560 × 53/50 × 53/50
=> Amount = 2560 × 53 × 53/2500
=> Amount = Rs.(1.024 × 53 × 53)
=> Amount = Rs.2876.41
Now, as we know that compound Interest:
= C.I. = Amount - Principal
= C.I. = Rs.2876.41 - Rs.2560
= C.I. = Rs.376.41
Thus,
The compound Interest & amount will be Rs.376.41 & Rs.2876.41 .
&
Given :
- Principal, (P) = Rs.4096
- Rate, (R) = 10% p.a
- Time, (n) = 18 months
Explanation :
Again using formula of the compounded half- yearly;
= Amount = Principal (1+ R/2/100)^2n
A/q
=> Amount = 4096(1+10/2×100)2×3/2
=> Amount = 4096(1+10/200)³
=> Amount = 4096(1+ 1/20)³
=> Amount = 4096(20+1/20)³
=> Amount = 4096(21/20)³
=> Amount = 4096 × 21/20 × 21/20 × 21/20
=> Amount = 4096 × 21 × 21 × 21/400 × 20
=> Amount = 10.24 × 21 × 21 × 21/20
=> Amount = 94832.64/20
=> Amount = Rs.4741.63
Now, as we know that Compound Interest;
=> C.I. = Amount - Principal
=> C.I. = Rs.4741.63 - Rs.4096
=> C.I. = Rs.645.63
Thus,
The compound Interest & amount will be Rs.645.63 & Rs.4741.63 .
Answer:
I Hope it's helpful for you.
