Question

In what time will Rs 10000 amount to Rs 13,310 at 20% per annum compounded half

yearly?​

Answer 1

The rate of interest is compounded half yearly,

r = 10% per half year

Let time = T/2 years = half years

According to the question,

Amount = Principal ( 1+Ratet /100)

=> 13310 = 10000 ( 1+10/100T )

=> 13310/10000 = 11t/10

=> 11/10T = 1331/1000 = 11³/10

=> T = 3 half years = 1 /2 years

Answer 2

Answer:

In what time will Rs 10000 amount to Rs 13,310 at 20% per annum compounded half

yearly?

$\\\;\underbrace{\underline{\sf{understanding\:the\:question}}}$

here question is saying that we have

amount=13310

principal=10000

rate of amount=20% per half yearly

Time=½

:. let time = T/2 year=half years

$\\\;\underbrace{\underline{\sf{according\:to\:the\:question}}}$

A=P[1+R/100]™

13,310/10,000=[11/100]™

[11/10]™=1331/1000=[11/10]³

T=3 half years

so the answer is 1½ year