What sum invested for 2/3 years compounded half-yearly at the rate of 4% will amount to Rs. 132651?​

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   11th

   Applied Mathematics

   Basics of financial mathematics

   Accumulation with simple and compound interest

   What sum invested for 1.5 y…

   Maths

   What sum invested for 1.5 year amount to 132651 in 1

   2

   1

   years compounded half yearly at the rate of 4% p.a.?

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   It is given that

   Amount (A) = 132651

   Rate of interest (r) = 4% p.a. or 2% half yearly

   Period (n) = 1

   2

   1

   years or 3 half years

   We know that

   A = P(1+r/100)

   n

   It can be written as

   P=A÷(1+r+r/100)

   n

   Substituting the values

   = 132651÷(1+2/100)

   3

   By further calculation

   =132651÷(51/50)

   3

   So we get

   =132651×(50/51)

   3

   =132651×50/51×50/51×50/51

   = 125000

   Hence, the principal amount is 125000.

   Step-by-step explanation:

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