Question

Find out the

c.i on rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.

Answer 1

Answer:

304

Step-by-step explanation:

P=5000 R%=4% per annum

1yr ----4% =200

1/2 yr ----2% = 100

(R%=2% per half year)

& 2% on 200= 4

Then 200+100+4 = 304

Answer 2

Answer:

The CI at 4% p.a. compound half-yearly for 1 $\frac{1}{2}$ years is Rs. 306.04

Step-by-step explanation:

Given Principal(P) = Rs. 5000

Rate(r) = 4%pa

Time (t) = 1$\frac{1}{2}$ years=$\frac{3}{2}$ years

We need to find the Compound interest (CI)

We know that Amount (A) = P(1 + $\frac{\frac{r}{2}}{100}$)²ⁿ

On substituting the values, we get

A = 5000*(1 + $\frac{4}{200}$)²*$^{\frac{3}{2}}$

    = 5000*(1 + $\frac{1}{50}$)³

    = 5000 *  ($\frac{51}{50}$)³

    = 5000 * $\frac{51}{50}$ *  $\frac{51}{50}$ *  $\frac{51}{50}$

    = 5306.04

Therefore, CI = A - P

                      = 5306.04 - 5000

                      = 306.04

Therefore, the CI at 4% p.a. compound half-yearly for 1 $\frac{1}{2}$ years is Rs. 306.04