Question

Find the amount on Rs. 24000 compounded semi- annually for one and half years at the rate of $10\%$ per annum.

• A. Rs. 27783
• B. Rs. 37783
• C. Rs. 26883
• D. Rs. 32686

Answer 1

The correct option is A

Rs. 27783

P = Rs. 24000

n =$\frac{3}{2}$ years = 3 half - years
R =$10\%$ per annum =$5\%$ per half annum

A= P${(1+(\frac{R}{100}\left)\right)}^n$

= Rs. 24000${(1+\left(\frac{5}{100}\right))}^3$

= Rs. 24000${\left(\frac{21}{20}\right)}^3$

=$Rs.24000\times \frac{21}{20}\times \frac{21}{20}\times \frac{21}{20}$

= Rs. 27783