Question

find the compound interest at the rate of 10% per annum for 2 years on the principle which in 2 years at the rate of 10% per annum yields 200 as simple interest​

Answer 1

Answer:

₹210

Step-by-step explanation:

First in case of Simple interest,

Rate = 10% p.a, Time = 2 years, Simple interest = ₹200

Principal = 100*SI/T*R

= 100×200/10×2

= ₹(10×100) = ₹1000

Now for compound interest,

Principal = ₹1000,Rate = 10%p.a, Time = 2 years

Amount = Principal(1+Rate/100)^Time

Thus, Amount = ₹1000(1+10/100)^2

= ₹1000(11/10)^2

= ₹1000×11/10×11/10

= ₹(121×10)

= ₹1210

Hence the compound interest is ₹(1210-1000)= ₹210

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Answer 2

Answer:

210

Step-by-step explanation:

first in case of simple interest

rate = 10%

time years 2 years

simple interest = 200

principles = 100×si/t×R

100×200/10×2

rupees (10×100)=1000

Now for compound interest

amount = principle(1+rate/100)^time

1000 (1+10/100)^2

1000 (11/100)^2

121×10

1210

1210-1000

210

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