Question

MR.Mukerjee gave 5/14 of his money to his son, 2/3 of the remainder to his daughter and the rest to his wife. If his wife got Rs.36000, what was the total amount

Answer 1

Let the total money be x.

Therefore , Mr. Mukherjee gave 5/14 of money to his son = 5/14 of x = 5x/14

Mr. Mukherjee gave 2/3 of remaining to his daughter.

So, remaining money = x - 5x/14

=( 14x - 5x )/14

= 9x/14

He gave 2/3 of remaining I.e.

2/3 of 9x/14

= 2/3 × 9x/14

=3x/7

According To Question , when we form equation it is -

x - (5x/14 + 3x/7) = 36000

or, x - {(5x + 6x )/14} = 36000

or, x - 11x/14 = 36000

or, (14x - 11x)/14 = 36000

or, 3x / 14 = 36000

or, 3x = 36000 × 14

or , x = (36000×14)/3

or, x = 12000×14

or, x = 168000

So, he gave 5/14 of it to his son I.e.

5/14 of 168000

= 5/14 × 168000

= 60000

He gave 2/3 of remaining to his daughter -

remaining = 168000-60000

= 108000

2/3 of 108000 = 2/3 × 108000

= 72000

Her wife got 36000.

60000+72000+36000 = ₹1680

                       

∴ The to total amount is Rs1680.