how to find the Sum Invested?
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Answered by
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Answer:
Step-by-step explanation:
Let intial amount is P
Given,
rate of interest , r = 10%
C.I for the 3rd year = 252 + C.I for the 1st year
Now, C.I for the 3rd years = amount after 3 years - amount after 2 years
= P(1 + r/100)³ - P(1 + r/100)²
= P(1 + 10/100)³ - P(1 + 10/100)²
= P(11/10)³ - P(11/10)²
= P(1331/1000 - 121/100)
= 121P/1000
And C.I for 1st year = S.I of 1st year = P × r × 1/100
= P × 10/100 = P/10
Now, 121P/1000 = 252 + P/10
⇒ 121P/1000 - P/10 = 252
⇒(121 - 100)P/1000 = 252
⇒ 21P = 252 × 1000
⇒ P = 12000
Hence initial amount = 12000 Rs
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