Question

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 the younger daughter contributes

1
/2 of her

mother’s share. How much do the three contribute individually?

Answer 1

Let us assume, the mother contribution in the construction is Rs x.

Therefore, elder daughter's contribution is Rs 3x/8 and younger daughter contribution is Rs x/2

Hence,

x + 3x/8 + x/2 = 62000

Multiply the equation by 8 on both sides

8x + 3x + 4x = 62000 * 8

15x = 496000

x = 33066.67

Mother's contribution is Rs 33066.67
Elder daughter's contribution is 3/8 * 33066.67 = Rs 12400
Younger daughter's contribution is 1/2 * 33066.67 = Rs 16533. 335

Answer 2

let mother contributed x rs
1 daughter 3/8x
2 daughter1/2x
x+3/8x+1/2x=62000
15/8x=62000
x=62000*8/15
x=33066.666
1 daughter=12400
2 daughter=16533.33