Math, asked by akuluwotsa123, 9 months ago

Find the difference between the simple interest and compound interest on Rs. 22,000 for 2 years at

6% per annum, compound interest being reckoned semi-annually.​

Answers

Answered by sankarjitdutta1970
0

Step-by-step explanation:

The difference between the compound interest and the simple interest on Rs.42000 for two years is Rs.105 at the same rate of interest per annum. Find

(i) the rate of interest

(ii) the compound interest earned in second year.

MEDIUM

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ANSWER

P = Rs 42000 T=2 years

Let rate = r %

S.I=

100

PRT

=

100

42000×r×2

=840 Rs

For C.I

A=P(1+

100

r

)

n

=42000(1+

100

r

)

2

=42000(1+

10000

r

2

+

50

r

)

=42000+

10

42r

2

+840r

C.I = A - P

=42000+

10

42r

2

+840r−42000

=

10

42r

2

+840r

Given C.I−S.I=105

=

10

42r

2

+840r−840r=105

=

10

42r

2

=105

=42r

2

=1050

=r

2

=25

r=5%

C.I at 2nd year = 42000(1+

100

5

)

2

−42000

=42000(1.1025−1)=4305 Rs

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