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Answers
Answer:
Step-by-step explanation:
The difference between CI and SI is given by formula.
Difference = Principal (r/100)^2 (r/100+3)
On putting values
283.5 = Principal (15/100) (15/100) (15/100 + 3)
283.5 = Principal (0.15) (0.15) (0.15+3)
283.5 = Principal (0.0225) (3.15)
283.5 = Principal (0.070875)
283.5/0.070875 = Principal
4000 = Principal
Answer:
Given CI−SI=Rs.283.50
R=15%
n=3 years
Let the sum be Rs.x
We know that : A=P(1+100R)n
A=2(1+1005)3=x(1.15)3 _________ (1)
Aslo, SI=100PRn=100x×15×3=1.45x _______ (2)
Thus, we have :
x(1.15)3−1.45x=283.50 (from (1)&(2))
⇒1.523x−1.45x=283.50
⇒0.070875x=283.50
⇒x=0.070875283=4,000
Thus, the sum is Rs4000
Mark my answer brainlist plz..
The difference between the compound interest and simple interest on a certain sum at 15% per annum for 3 years is Rs. 283.50. Find the sum.
Question
The difference between the compound interest and simple interest on a certain sum at 15% per annum for 3 years isRs. 283.50. Find the sum.
Solution
Let sum (P)=Rs. 100
Rate (R) =15% p.a
Period (n)=3 years
∴ Simple interest =PRT100
=100×15×3100
=Rs. 45
and when interest is compounded annually then
C.I=P[(1+R100)n−1]
=Rs. 100[(1+15100)3−1]
=Rs. 100[(2320)3−1]
=Rs. 100[2320×2320×2320−1]
=Rs. 100×[121678000−1]
=Rs. 100×12167−80008000
=Rs. 416780
Difference in C.I and S.I.
=Rs. (416780−451)
=Rs. 4167−360080
=Rs. 56780
If difference is Rs.56780, then principal = Rs. 100
If difference is Re. 1, then principal =Rs.100×80567
and if difference is Rs. 283.50, then
Principal =Rs.100×80567×283.50
=Rs.100×80×28350567×100=Rs.4000
Sum =Rs. 4000