Question

what sum will become rupees 4913 in 18 month if the rate of interest is 12^1/2 per annum and the interest is compounded half yearly​

Answer 1

Answer:

Rs. 4096

Step-by-step explanation:

Given that the sum will become rupees 4913 in 18 month if the rate of interest is 12 1/2 per annum compund half yearly.

We need to find out the principal.

Assumption: Let's say that the principal is Rs. x.

We know that-

A = P (1 + r/100)^t

(where A is amount having value Rs. 4914, P is principal, r is rate having value 12 1/2 per annum and t is time having value 18 months)

Rate = 12 1/2 per annum = 25/2/2 per annum = 25/4 (half year)

Time = 18 months = 3 years

Substitute the values,

4913 = x (1 + 25/4*100)³

4913 = x (1 + 25/400)³

4913 = x [(400 + 25)/400]³

4913 = x (425/400)³

4913 = x (1.1995)

x = 4096

Hence, the principal is Rs. 4096.

Answer 2

Answer:

4,095

Step-by-step explanation:

Given:

Amount = 4,913

Time = 1 months i.e. for 1¹/₂ yrs

Rate = 12.5% i.e. 0.125

Compounded half yearly = (0.125/2) = 0.0625

$Amt = P(1 + i)^n$

4,913 = P(1 + 0.0625)² ˣ³/₂

4,913 = (1.0625)³  P

P = 4913 ÷ (1.0625)³  

(1.0625)³ = 1.1994629062

P = 4095