A father decided to give 20% of his monthly income to his three children as their monthly allowance.The eldest child got 45% of the allowance and the youngest got 25%.
How much was the father's monthly income if the second child got #3,000?...
A.#60,000
B.#45,000
C.#33,000
D.#50,000
E.#35,000

Show your workings please, so that we might know how you solve it..

D, 50k

Workings please..

dunwun:
D, 50k

Still working it out...

ANS=#50000

Solution

Let the father's money equals=y

20% of y equals=x

Eldest child got 45% of x

Youngest got 25% of x

Therefore middle will get 100%-(45+25)=100-70=30%

But the middle child got 30% of x=#3000

Therefore 3000=30/100 *x

Making x the subject of the formulae, x =3000*100/30 =1000

Therefore x=#10000

Recall that 20% of y equals=x

Therefore 20% of y equals=#10000

Solving for y:

10000=20/100*y

Making y the subject of the formula

Y =10000*100/20

Y =100000/20

Y=50000

Therefore y equals #50000

Which is the father's income

D answer is 50,000...