Question

1/7 of a money is deposited at 4% per annum , ½ of a money deposited at 5% per annum

and the remaining at the rate of 6%, then total interest gained `730 find deposit amount

is​.

Answer 1

Answer:

deposited amount is 14000

Step-by-step explanation:

Let, 'x' be the deposited amount

amount deposited at 6% rate=x -(1/7 of x + 1/2 of x)

=x -(x/7 + x/2)

=x - (2x+7x)/14

=x - 9x/14

=(14x - 9x)/14

=5/14 of x

According to the condition of the question

=> 4% of (1/7 of x) +5% of (1/2 of x) +6% of (5/14 of x) =730

=> 4/100(x/7) +5/100(x/2) +6/100(5x/14) =730

=> 4x/700 +5x/200 + 30x/1400 =730

=> (8x +35x + 30x)/1400 =730

=> 73x/1400 = 730

=> x = (730*1400)/73

=> x = 10*1400

=> x= 14000

so,

deposited amount = 14000