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 the mother’s share be ₹ x.

Now, elder daughter’s share = ₹ `3/8x`

And younger daughter’s share = ₹ `1/2x`

According to the question,

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

⇒ `(8x + 3x + 4x)/8 = 62000`

⇒ `15x = 62000 × 8`

⇒ `x = (62000 xx 8)/15`

⇒ `x = (12400 xx 8)/3`

⇒ `x = 99200/3 = 33066.6`

So, mother’s share = ₹ 33066.6

Elder daughter’s share = `3/8 xx 99200/3` = ₹ 12400

Younger daughter’s share = `1/2 xx 99200/3` = ₹ 16533.3

Hence, mother and her two daughters contributed ₹ 33066.6, ₹ 12400 and ₹ 16533.3, respectively.