Question

if the simple interest on Rupees 1500 increases by 30 rupees when the time increases by 8 year the rate percent per annum is​

Answer 1

Answer:

So, [1500 x 4 x R]/100 =30 Or, 4R

= 30/15

= 0.5%.

Step-by-step explanation:

Answer 2

Answer:

The rate percent per annum is​ 0.25%.

Step-by-step explanation:

Given principal amount, P = Rs 1500

Increase in principal amount = Rs 30

Time increased = 8 year

Simple interest is the interest calculated on the principal amount and is given by $SI=\frac{PTR}{100}$ where P is the principal amount, T is the time, and R is rate of interest per annum.

In the first given case,

$SI=\frac{PTR}{100} =\frac{1500\times TR}{100}$                              ...(1)

In the second case, when the time is increased, simple interest is increased, thus

$SI+30=\frac{1500\times (T+8)\times R}{100}$

Substituting equation (1),

$\frac{1500\times TR}{100}+30=\frac{1500\times (T+8)\times R}{100}$

$\frac{1500\times TR}{100}+30=\frac{1500\times TR}{100}+\frac{1500\times 8R}{100}$

Cancelling the equal terms on either side

$\implies \frac{1500\times 8R}{100}=30$

$\implies 15\times 8R}=30$

$\implies R=\frac{30}{8\times 15} =0.25\%$

Therefore, the rate percent per annum is​ 0.25%.