Question

After 2 years at the rate of 4.8% per annum compounded annually the amount is Rs 125000. Find the intial amount

Answer 1

Answer:  Rs. 113,811.84

Step-by-step explanation:

As given in question

Rate ;R = 4.8%

Time; t = 2 years

Amount = Rs. 125000

We have to find the initial amount i.e. Principal; P

As the interest is compounded annually

$A= P(1+\dfrac{R}{100} )^t\\\\\Rightarrow 125000= P(1+\dfrac{4.8}{100} )^2\\\\\Rightarrow 125000 = P(\dfrac{1048}{1000} )^2\\\\\Rightarrow P = \dfrac{125000\times 1000\times 1000}{1048\times 1048} \\\\\Rightarrow P= Rs113811.84}$

Hence, the initial amount is Rs. 113,811.84

Answer 2

QUESTION

After 2 years at the rate of 4.8% per annum compounded annually the amount is Rs 125000. Find the intial amount

SOLUTION

AMOUNT=125000rs

TIME=2years

AMOUNT=P(1+R/100)^n

125000=P(1+4.8/100)^2

125000=P(1+48/1000)^2

ON SOLVING,

125000=P(17161/15625)^2

125000×15625/17161=P

113811.84=P

HENCE,INITIAL AMOUNT(PRINCIPAL) IS 113811.84 RUPEES....