If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?
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3
SI = P * T * R/100
P = 50 * 100/2*5
A = 500(1+5/100)^2
= 500(21/20∗21/20)
= Rs. 551.25
Hence, C.I.= 551.25−500
= 51.25
P = 50 * 100/2*5
A = 500(1+5/100)^2
= 500(21/20∗21/20)
= Rs. 551.25
Hence, C.I.= 551.25−500
= 51.25
Answered by
7
Solution :-
Simple Interest = Rs. 50
Rate of Interest = 5 %
Time = 2 years
Principal - ?
S.I. = (P*R*T)/100
⇒ 50 = (P*5*2)/100
⇒ 10P = 5000
⇒ P = 5000/10
⇒ P = Rs. 500
Hence, the Principal is Rs. 500.
Compound Interest on same principal at the same rate of interest and for the same time.
A = P(1 + R/100)ⁿ
⇒ 500(1 + 5/100)²
⇒ 500*105/100*105/100
⇒ 5512500/10000
A = Rs. 551.25
Compound Interest = A - P
C.I. = 551.25 - 500
Compound Interest = Rs. 51.25
Answer.
Simple Interest = Rs. 50
Rate of Interest = 5 %
Time = 2 years
Principal - ?
S.I. = (P*R*T)/100
⇒ 50 = (P*5*2)/100
⇒ 10P = 5000
⇒ P = 5000/10
⇒ P = Rs. 500
Hence, the Principal is Rs. 500.
Compound Interest on same principal at the same rate of interest and for the same time.
A = P(1 + R/100)ⁿ
⇒ 500(1 + 5/100)²
⇒ 500*105/100*105/100
⇒ 5512500/10000
A = Rs. 551.25
Compound Interest = A - P
C.I. = 551.25 - 500
Compound Interest = Rs. 51.25
Answer.
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