Question

Mrs.Gill won certain prize money in a cooking competition.She spent half of the prize money on the clothes,one third on grocery and gave away the remaining Rs.2000 to an orphanage.How much prize money did she win.

Answer 1

Answer

Find out the how much prize money did she win.

To proof

Let us assume that the total amount prize money did she win be u.

As given

Mrs.Gill won certain prize money in a cooking competition.

She spent half of the prize money on the clothes

$= u -\frac{u}{2}\\ = \frac{u}{2}$

one third on grocery

$= \frac{u}{2} -\frac{u}{3}$

(L.C.M of (2,3) =6 )

$= \frac{3u -2u}{6} \\=\frac{u}{6}$

gave away the remaining Rs.2000 to an orphanage

$2000 = \frac{u}{6}$

u =Rs 12000

Rs 12000  prize money did she win.

Hence proved