Question

You are requested to imagine having invested Rs.5000 in 3 different schemes of any
bank or a post office for 2 years at 10% p.a.
(a) Scheme 1 - where you earn simple interest.
(b) Scheme 2 - where p annually.
(c) Scheme 3 - where your money is compounded half yearly.
Find the amount and the interest earned in each case and note your
observations.​

Answer 1

Step-by-step explanation:

Given You are requested to imagine having invested Rs.5000 in 3 different schemes of any

bank or a post office for 2 years at 10% p.a.

(a) Scheme 1 - where you earn simple interest.

(b) Scheme 2 - where p annually.

(c) Scheme 3 - where your money is compounded half yearly.

Find the amount and the interest earned in each case and note your

observations.​

• So given principal p = Rs 5000, time t = 2 years, rate of interest R = 10%
• Now simple interest S.I = P x R x T / 100
•                              = 5000 x 10 x 2 / 100
•                       Or simple interest = Rs 1000
• Now for the principal compounded annually we get
•                       So Amount  = P (1 + R/100)^n
•                                             = 5000 (1 + 10/100)^2
•                                            = 5000 (1 + 10/100)^2
•                                            = 5000 (11 / 10)^2
•                                           = Rs 6,050
•           So Compound Interest C.I = Amount – Principal
•                                                        = 6,050 – 5,000
•                                                         = 1,050
•         Now for the principal compounded half yearly we get
•              P = 5000, R = 10% = 10/2 = 5%, T = 2 years = 2 x 2 = 4 years  
•                  So A = 5000 (1 + 5/100)^4
•                           = 5000 (21/4)^4
•                         =      194481 / 32
•                             = 6077.53
•      Therefore C.I = A – P
•                              = 6077.53 – 5000
•                             = 1077.53

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https://brainly.in/question/6793190

Answer 2

Answer:

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