ANY GENIUS here who can solve it........
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amritsarigirl:
what i should do monday is my test
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Given, SI = 800, Time n = 2 years.
We know that SI = PTR/100
⇒ 800 = (P * 2 * R)/100
⇒ 80000 = 2PR
⇒ PR = 40000 ------ (1)
Given, SI = 820, Time n = 2 years.
We know that CI = P(1 + R/100)^T - P
⇒ P(1 + R/100)^2 - P
⇒ P[(1 + R/100)^2 - 1]
⇒ P[2R/100 + R^2/10000]
⇒ 2PR/100 + PR^2/10000
⇒ (2 * 40000)/100 + (40000 * R)/10000
⇒ 800 + 4R
Given Compound interest = 820
⇒ 820 = 800 + 4R
⇒ 820 - 800 = 4R
⇒ 20 = 4R
⇒ R = 5%.
Substitute r = 5% in (1), we get
⇒ PR = 40000
⇒ P = 40000/5
⇒ P = 8000.
Therefore, the sum = 8000 and rate of interest = 5%.
Hope it helps!
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