Question

A person invested in all rs. 2600 at 4%, 6%, and 8 % per annum simple interest. at the end of the year, he got the same interest in all the three cases. the money invested at 4% is

Answer 1

Answer:

1200 Rs

Step-by-step explanation:

A person invested in all rs. 2600 at 4%, 6%, and 8 % per annum simple interest. at the end of the year, he got the same interest in all the three cases. the money invested at 4% is

Let say Money invested at 4 %  per annum  = Rs 100X

Let say Money invested at 6 %  per annum  = Rs 100Y

Money invested at 8 %  per annum = 2600 - 100 ( X + Y)  Rs

Interest at Rs 100X  =  100X * 4 * 1 /100 = Rs 4X

Interest at Rs 100Y  =  100Y * 6 * 1 /100 = Rs 6Y

4X = 6Y

=> 2X = 3Y

=> Y = 2X/3

Interest at Rs 2600 - 100 ( X + Y)  =  (2600 - 100 ( X + Y))  * 8 * 1 /100

=( 26 - (X + Y) ) * 8

= 208 - 8X - 8Y

208 - 8X - 8Y = 4X

208 = 12X + 8Y

=> 208 = 12X + 8(2X/3)

=> 624 = 36X + 16X

=> 52X = 624

=> X = 12

Money invested at 4 %  per annum = 100X  = 1200 Rs