Math, asked by arunk84471, 4 months ago

1.0 marks
The compound interest and the simple
interest on a certain sum for two years are
Rs.2040 and Rs.2000 respectively. The rate of
interest is same for both compound interest
and simple interest. What is the principal?
Rs.25000
Rs.40000
Rs.50000
None of these​

Answers

Answered by wakiyabegum
2

Step-by-step explanation:

The compound interest and the simple interest on a certain sum for two years are Rs.2040 and Rs.2000 respectively.The rate of interest is same for both compound interest and simple interest.What is the principal?

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The compound interest and the simple interest on a certain sum for two years are Rs.2040 and Rs.2000 respectively.The rate of interest is same for both compound interest and simple interest.What is the principal?

C.I for 2 years for certain amount is, Ici=P(1+R%)2−P

⇒Ici=P[(1+R%)2−1]

⇒2040=P[(1+R%)2−1]

⇒2040=P[1+2R%+(R%)2−1]

⇒2040=P(2R%+(R%)2)

⇒2040=2PR%+PR%R%−−−−−−−−−(1)

S.I for 2 years for certain amount is, Isi=(2PR%)

⇒2000=2PR%——−(2)

And, PR%=1000−−−−−−−(3)

Putting the values of (2) and (3) in (1) we have,

2040=2000+1000R%

R%=401000

R%=4%

Then, 2000=2P4%

P=10004%

P=1000004

P=25000

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