Question

Divide 2,600 into three parts in such a way that the simple interest on first part at the rate
of 4%, on the second part at the rate of 6% and on the third part at the rate of 8% is equal.​

Answer 1

Step-by-step explanation:

A person invested Rs. 2600 at 4%,6% and 8% respectively.

Let the three parts be x,y and z.

Then,

100

x×4×1

=

100

y×6×1

=

100

z×8×1

⇒0.04x=0.06y=0.08z

⇒

y

x

=

0.04

0.06

=

2

3

and

z

y

=

0.06

0.08

=

6

8

=

3

4

⇒

y

x

=

4

6

and

z

y

=

3

4

⇒x:y:z=6:4:3

∴ sum invested at 4%=

13

6

× Rs. 2600= Rs. 1200