Question

find the amount and the ci on 3,20,000 for 2 years at 10%p.a compounded half-yearly​

Answer 1

Given:

• Principal(p)= Rs.320000
• Rate (r)= 10% p.a= 5% Half Yearly
• Period(n)= 2 Years =4 half Years

To find:

• Amount And Compound Interest

Solution:

$\color{green} \implies \tt \color{lime}{ \therefore \: Amount = P(1 + \frac{r}{100} ) {}^{n} } \\ \color{green} \: \rightarrow320000(1 + \frac{5}{100} ) {}^{4} \\ \color{orange} \rightarrow320000 \times ( \frac{21}{20} ) {}^{4} \\ \color{red} \rightarrow320000 \times \frac{21}{20} \times \frac{21}{20} \times \frac{21}{20} \times \frac{21}{20} \\ \pink{\rightarrow {32\cancel{0000} }\times \frac{21}{2 \cancel0} \times \frac{21}{2 \cancel0} \times \frac{21}{2 \cancel0} \times \frac{21}{2 \cancel0} }\\ = rs.388962 \\ \color{pink} \therefore \: Compound \: Interest = A- P \\ \color{aqua} \implies \: rs.388962 - Rs.320000 \\ \color{lime} \underline{= Rs.68962 }$