Question

principal= ₹ 2560
Rate = 25/2%
Time = 1 Year

calculate the amount and C.I. if the interest is compounded half yearly.​

Answer 1

Amount(A) = "₹ 2880" and compound interest(C.I.) = "₹ 320".

Step-by-step explanation:

Given,

Principal (P) = ₹ 2560

,

Rate(r) = 25/2 %  = 25/4 %  half yearly,

Time = 1 Year = 2 haf yearly

Find, Amount (A) = ? and compound interest(C.I.) =?

Amount(A) = P$(1 + \frac{r}{100}) ^{n}$

= ₹ 2560$(1 + \frac{25}{(4)100}) ^{2}$

= ₹ 2560  × $\dfrac{9}{8}$ × $\dfrac{9}{8}$

= ₹ 40 × 72

= ₹ 2880

∴ Amount(A) = ₹ 2880

Also,

Compound interest(C.I.) = Amount(A)  - Principal (P)

= ₹ 2880 - ₹ 2560

= ₹ 320

Hence, amount(A) = ₹ 2880 and compound interest(C.I.) = ₹ 320.

Answer 2

Step-by-step explanation:

Your answer is given above