Question

divide 12000 in two parts such that the simple interest on the first word for 2 years at 6% per annum is equal to the simple interest on the second part for 3 year at 8% per annum ​

Answer 1

Please see the attachment

Answer 2

Given:

Principal=₹12000

To Find:

Divide 12000 in equal parts simple interest at 6% for first 2 years=simple interest at 8% on the second part for 3 years.

Solution:

Let the first part be ₹x.

Then, the second part =₹(1200-x)

SI on ₹x at 6% p.a. for 2 years:

₹$(\dfrac{x \times 6 \times 2}{100})$

=₹$(\dfrac{3x}{25})$

SI on ₹(12000-x) at 8%p.a. for 3 years=₹$\dfrac{(12000-x)\times8\times3}{100}$

=₹$\dfrac{(72000-6x\times2)}{25}$

∴$\dfrac{3x}{25}=\dfrac{(72000-6x)}{25}\\3x=72000-6x\\9x=72000\\x=8000$

first part=₹8000

second part₹(12000-8000)=₹4000.