A mother and her two daughters got a room constructed for Rs 62,000. The elder daughter contributes 3/8 of her mother's contribution while her younger daughter contributes 1/2 of her mother's share. How much do the three contribute individually ?
Answers
Given :
A mother and her two daughters got a room constructed for Rs 62,000. The elder daughter contributes 3/8 of her mother's contribution while her younger daughter contributes 1/2 of her mother's share.
To Find :
How much do the three contribute individually ?
Solution :
Let mother contribute = x
Elder daughter contribute = 3/8*x = 3x/8
younger daughter contribute = x/2
Total contribution = 62000
According to the given question -
=> x+3x/8+x/2=62000
=> (8x+3x+4x)/8=62000
=> 15x/8=62000
=> 15x=496000
=> x=496000/15
=> x=33067 .
Hence , mother contribute = 33067
Elder daughter contribute= 33067*3/8=12400
Younger daughter contribute= 33067/2=16533
Let mother contribute = x
Elder daughter contribute = 3/8*x = 3x/8
younger daughter contribute = x/2
Total contribution = 62000
According to the given question
=> x+3x/8+x/2=62000
=> (8x+3x+4x)/8=62000
=> 15x/8=62000
=> 15x=496000
=> x=496000/15
=> x=33067.
Hence, mother contribute = 33067
Elder daughter contribute= 33067*3/8=12400
Younger daughter contribute= 33067/2-16533