Calculate the amount and the compound interest on Rs- 8-000 for 112 years at 10- per annum compounded half-yearly-

The correct option is D Rs. 9,261 and Rs. 1,261 #160; Amount A=P (1+ rn)^nt Here, P=8000, r=10100=0.1, t=1.5, n=2 ∴ A=8000(1+0.12) ...

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Byju's Answer

Standard IX

Mathematics

Finding CI When Rate Compounded Annually

Calculate the...

Question

Calculate the amount and the compound interest on Rs. $8, 000$ for $1 \frac{1}{2}$ years at $10 %$ per annum compounded half-yearly.

Rs.

9, 248

and Rs.

1, 248

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Rs.

9, 499

and Rs.

1, 499

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Rs.

9, 372

and Rs.

1, 372

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Rs.

9, 261

and Rs.

1, 261

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Solution

The correct option is D Rs. $9, 261$ and Rs. $1, 261$
Amount $A = P {(1 + \frac{r}{n})}^{n t}$
Here, $P = 8000, r = \frac{10}{100} = 0.1, t = 1.5, n = 2$
$∴ A = 8000 (1 + \frac{0.1}{2})^{2 \times 1.5}$
$= 8000 (1.05)^{3}$
$= 9261$
Compound interest $= 9261 - 8000 = 1261$
Option D is correct.

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Find the amount and the compound interest on Rs. 8000 for $1 \frac{1}{2}$ years at $10 %$ per annum, compounded half-yearly.

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Calculate the amount and the compound interest on Rs. 8,000 for 112 years at 10% per annum compounded half-yearly.

The correct option is D Rs. 9,261 and Rs. 1,261Amount A=P(1+rn)ntHere, P=8000,r=10100=0.1,t=1.5,n=2∴A=8000(1+0.12)2×1.5 =8000(1.05)3 =9261Compound interest =9261−8000=1261Option D is correct.

Calculate the amount and the compound interest on Rs. $8, 000$ for $1 \frac{1}{2}$ years at $10 %$ per annum compounded half-yearly.

The correct option is D Rs. $9, 261$ and Rs. $1, 261$
Amount $A = P {(1 + \frac{r}{n})}^{n t}$
Here, $P = 8000, r = \frac{10}{100} = 0.1, t = 1.5, n = 2$
$∴ A = 8000 (1 + \frac{0.1}{2})^{2 \times 1.5}$
$= 8000 (1.05)^{3}$
$= 9261$
Compound interest $= 9261 - 8000 = 1261$
Option D is correct.