Question

8. Divide rs. 8000 in two parts so that the simple interest on the first part for 5 years at8% per annum may equal to
the simple interest on the second part for 8 years per annum .​

Answer 1

Answer:

Let the first part be x.

Second part =8000−x

We have

100

x×5×12

=

100

(8000−x)×2×18

5x=24000−3x

8x=24000

x=3000

∴ First part = Rs. 3000.

Second part = Rs. 5000.

Answer 2

Let the first part be x.

Second part =8000−x

We have,

$\frac{x \times 5 \times 12}{100} = \frac{(8000−x) \times 2 \times 18}{100}$

5x=24000−3x

8x=24000

x=3000

∴ First part = Rs. 3000.

Second part = Rs. 5000.