Question

what sum invested for 11 by 2 years compounded half yearly at the rate of 4% per annum will amount to rupees 132651?​

Answer 1

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The principal value or sum is Rs.125000.

Step-by-step explanation:

Given : Sum invested  for 1 and 1/2 year compounded half yearly at rate of 4% p.a will amount to Rs.132651.

To find : The sum ?

Solution :

Use the compound interest formula,

Where, A is the amount A=Rs.132651.

P is the principal

r is the rate of interest 4%.

Rate is compounded half yearly so,

t is the time t=1 and half year = 3 half year

Time is compounded half yearly t=3 years

Substitute values in the formula,

₹132651=P(1+2/100)^3

132651=P(51/50)^3

P= 132651×50×50×50/51×51×51

P=₹125000

Therefore sum =₹125000

Therefore, The principal value or sum is Rs.125000.