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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?
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Solution
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.
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