Question

The S. I on a sum of money for 2 years is rupees hundred and the C. I on the same Sum at the same rate for same time is rupees 104 find the rate of interest​

Answer 1

Answer:

Answer

Correct option is

C

5%

Let the principle is Rs. P and rate of interest is R%

Time =2 years

Then for C.I

CI =P(1+

100

R

)

2

−P

⇒410=P

⎣

⎢

⎡

(1+

100

R

)

2

−1

⎦

⎥

⎤

....[∵(a+b)

2

=a

2

+b

2

+2ab]

⇒410=P[1+

100

2R

+

10000

R

2

−1]

⇒410=

100

2PR

+

10000

PR

2

⇒410=

50

PR

+

10000

PR∗R

1

For SI:

SI=

100

PRT

⇒400=

100

PR2

⇒400=

50

PR

⇒PR=20000

Put the value of PR in (1)

410=

50

20000

+

10000

20000

×R

⇒410=400+2R

⇒410−400=2R

⇒R=

2

10

⇒R=5%

Answer 2

Answer:

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