Calculate the amount and the compound
interest on :
(i) * 6,000 in 3 years at 5% per year.
(ii) * 8,000 in 21 years at 15% per annum.
Answers
Answer:
Interest = Rs.
6 , 000 × 5 × 1 100. = Rs. 300. And, amount = Rs. ( 6,000 + 300 ) = Rs. 6,300. ...
6 , 300 × 5 × 1 100 = Rs. 315. And, amount = Rs. ( 6,300 + 315 ) = Rs. 6,615. For 3rd year, ...
6 , 615 × 5 × 1 100 = Rs. 330.75. And, Amount = Rs. ( 6,615 + 330.75 ) = Rs. 6,945.75. ∴ C.I. accrued = Final amount - Intitial Principal.
Step-by-step explanation:
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Answer:
(¡)
Given :
• Principal = ₹6000
• Rate = 5%
• Time, n = 3 years
We know that ,
Compound Interest (CI) =
\bold \: p(1 + \frac{r}{100} )^{n}
So,
CI for the (i) will be
\begin{gathered} = 6000(1 + \frac{5}{100} )^{3} \\ = 6000( \frac{105}{100} )^{3} \\ = 6000 \times \frac{105}{100} \times \frac{105}{100} \times \frac{105}{100 } \\ = 6945.75 \: rs\end{gathered}
=6000(1+
100
5
)
3
=6000(
100
105
)
3
=6000×
100
105
×
100
105
×
100
105
=6945.75rs
Now,
Amount = Principal + Compound Internet
Amount = ₹ 6000 + 6945.75
= ₹ 12945.75
(ii)
Given :-
Principal = ₹8000
Rate = 15%
Time, n = 2 years
Now, By using the formula Mentioned above
CI =
\begin{gathered} = 8000(1 + \frac{15}{100} ) ^{2} \\ = 8000( \frac{115}{100} ) ^{2} \\ = 8000 \times \frac{115}{100} \times \frac{115}{100} \\ = 10580 \: rs\end{gathered}
=8000(1+
100
15
)
2
=8000(
100
115
)
2
=8000×
100
115
×
100
115
=10580rs
Now,
Amount = Principal + Compound Interest
Amount = ₹ (8000 + 10580)
= ₹ 18580