Question

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ?

A) J x J = KL B) K x K= JL C) L x L = JK D) JKL = 1

Answer 1

Given that,

If J is the interest on K and K is the interest on L,

The rate and time is the same on both the cases.

Let the time and rate are N and R.

We need to find the relation between J, K and L

Using formula of simple interest

$I=P\times R\times T$

Where, P = principal

R = rate

T = time

Put the value into the formula

$J=\dfrac{K\times NR}{100}$...(I)

$K=\dfrac{L\times NR}{100}$...(II)

Now, divided equation (I) by (II)

$\dfrac{J}{K}=\dfrac{\dfrac{K\times NR}{100}}{\dfrac{L\times NR}{100}}$

$\dfrac{J}{K}=\dfrac{K}{L}$

$K\times K=JL$

Hence, The relation between J, K and L is $K\times K=JL$.

(B) is correct option.