Question

Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?

Answer 1

Let Anima’s property be ₹ x.

Property left for her daughter = ₹ `x/2`

Remaining property = `x - x/2`

= `(2x - x)/2`

= ₹ `x/2`

Property left for her son = `1/3` of remaining property

= `1/3 xx x/2`

= ₹ `x/6`

Remaining property = `[x - (x/2 + x/6)]`

= `x - ((3x + x)/6)`

= `(6x - 4x)/6`

= `(2x)/6`

= ₹ `x/3`

Since, the remaining property donated to an educational institute.

But donation property = ₹ 100000

∴ `x/3` = 100000

⇒ x = 300000

Hence, Anima had ₹ 300000.