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Answers
Q.1) $12000 is invested for one and half years at
$12000 is invested for one and half years atcompound interest. If R15972 is received at the end of this period. Find the rate of interest per annum.
soluction ➭
R ➭ 21%
R ➭ 20.64 %
explanation:
Let say rate of interest = R
Interest for 1st Year = 12000 × R × 1/100 ➭ 120 R
Amount after 1 years ➭ 12000 + 120R
interest for next 1/2 years ➭ (12000 +
120R) ➭ (1/2) R/100
➭ (120 + 1.2R)R/2
➭ 60R+ 0.6R²
120 R +60R+ 0.6R² ➭ 15972 - 12000
➭ 0.6R² + 180R=3972
➭ R² + 300R = 6620
➭ R² + 300R - 6620 = 0
➭ R= 20.64 %
But if We calculate
Amount ➭ P(1 + R/100)"
➭ 15972 ➭ 12000 (1 + R/100)^(3/2)
➭ 1.331 ➭ (1 + R/100)^(3/2)
➭ 1.1 ➭ (1 + R/100)
➭ 1.21 ➭ 1+ R/100
➭ R/100 ➭ 0.21
➭ R ➭21%
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Answer:
here's ur answer is ...
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