Question

WHAT SUM INVESTED FOR 1 AND 1/2 YEARS COMPOUNDED HALF YEARLY AT THE RATE OF 4% P.A. WILL AMOUNT TO RU. 132651

Answer 1

A= Rs.132651
T = 1 1/2 = 3/2
R % = 4%
A = P(1 + R/100)^t
132651 = P (1+4/100)^3
132651 = P (104/100)×(104/100)×(104/100)

132651=P×1.124864
132651/1.124864= P
=117,926.25597405=P

Answer 2

Answer:

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 :

Using compound interest formula,

$A=P(1+\frac{r}{100})^t$

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, $r=\frac{4}{2}=2\%$

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,

$132651=P(1+\frac{2}{100})^3$

$132651=P(1+0.02)^3$

$132651=P(1.02)^3$

$132651=P(1.061208)$

$P=\frac{132651}{1.061208}$

$P=125000$

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