Question

At what rate of percentage will Rs. 5200 amounts to Rs. 6ooo at the rate of 4 percentage in 4 years ​

Answer 1

Answer:

Let Rs P be the sum and R % be the rate of interest per annum. <br> Given, <br> Amount in 4 years = Rs. 5600 <br>

implies P(1+(4R)/(100))=5600

<br> Also, amount in 6 years =Rs. 6400 <br>

implies P(1+(6R)/(100))=6400

<br> (1)+(2) gives, <br>

(1+(4R)/(100))/(1+(6R)/(100))=(5600)/(6400) implies (100+4R)/(100+6R)=(7)/(8)

<br>

implies 8(100+4R)=7(100+6R)

<br>

implies 10R=100 implies R=10

<br> On substituting R=10 in (1), we get, <br>

P(1+(40)/(100))=5600implies (7P)/(5)=5600 implies P =4000

<br> Hence, the requied sum is Rs. 4000 and the rate of interest is 10% per annum.