Question

Sudhir lent 2000 at compound interest at 10%
payable yearly, while Prashant lent 2000 at
compound interest at 10% payable half-yearly,
Find the difference in the interest received by
Sudhir and Prashant at the end of one year.
​

Answer 1

AnSwEr :

It is given that ,

• Sudhirr lent 2000 at compound interest at 10% payable yearly

• Prashant lent 2000 at compound interest at 10% payable half-yearly

• And we have to find,

• The difference in the interest received by Sudhir and Prashant at the end of one year.

Let's solve it !

Sudhir amount ,

Given

Principal (p) = 2000rs

Rate (r) = 10 %

Time (n) = 1 year

so , as we know that ,

$\green{\sf \Longrightarrow Amount =Principal (\dfrac{1+Rate}{100})^{n}</p><p>}$

$\bf \Longrightarrow Amount =2000 (\dfrac{1+10}{100})^{1}</p><p>$

$\red{\sf \Longrightarrow Amount =2000 (\dfrac{110}{100})}</p><p>$

$\sf \Longrightarrow Amount =2200 \: rs$

Prashant amount ,

Given

Principal (p) = 2000rs

Rate (r) = 10 % half yearly

so , Rate = 10/2 % half yearly = 5%

Time (n) = 2 year

so , as we know that

$\blue{\rm\Longrightarrow Amount =Principal (\dfrac{1+Rate}{100})^{n}}$

$\rm \Longrightarrow Amount =2000 (\dfrac{1+5}{100})^{2}</p><p>$

$\bf \Longrightarrow Amount =2000 (\dfrac{105}{100})^{2}</p><p>$

$\red{\sf \Longrightarrow Amount =2000 (\dfrac{105}{100}*\dfrac{105}{100})}$

$</p><p> \pink{\sf \Longrightarrow Amount =2205 \: rs}$

Now we know the amount of Sudhir and Prashant .

so, difference in the interest received by Sudhir and Prashant at the end of one year = 2205 rs - 2200 rs = 5 rs

Answer 2

Answer:

see this attachment

Step-by-step explanation:

hope it helps you!!