Question

The amount on rs 9000 at a certain rate is Rs. 13500. If the principal is increased by 7% . The amount obtained is increased by 14% then find the percentage increase in the simple interest obtained?

Answer 1

rs 9000
rs 13500 by 7%
14%
is 10260

Answer 2

Answer: There is 7% increase in the simple interest obtained.

Step-by-step explanation:

Since we have given that

Principal amount = Rs. 9000

Amount = Rs. 13500

As we know the relation among principal, simple interest and amount.

$Amount=Principal+Interest\\\\13500=9000+Interest\\\\13500-9000=Interest\\\\Rs.4500=Interest$

According to question, it is given that the principal is increased by 7% and the amount obtained is increased by 14%.

So, New principal becomes

$\frac{100+7}{100}\times 9000\\\\=\frac{107}{100}\times 9000\\\\=1.07\times 9000\\\\=Rs.9630$

New amount becomes

$\frac{100+14}{100}\times 13500\\\\=\frac{114}{100}\times 13500\\\\=1.14\times 13500\\\\=Rs.15390$

New interest will be

$Amount=Principal-Interest\\\\15390=9630-Interest\\\\15390-9630=Interest\\\\Rs.5760=Interest$

So, Percentage increase in the simple interest obtained is given by

$\frac{9630-9000}{9000}\times 100\\\\=\frac{630}{9000}\times 100\\\\=7\%$

Hence, there is 7% increase in the simple interest obtained.