. A man gives 30% of his property to his wife, 50% of the rest to his son and
divides equally rest of his property among his two daughters. If each of his
daughter receives Rs, 49000. Find his property.
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Answer:
The ratio of son and wife is son:wife =3:1 or we can write it as 9:3.
The ratio of wife and daughter is wife:daughter =3:1
Therefore, the ratio of son, wife and daughter is:
Son:wife:daughter =9:3:1
Sum of the ratios =9+3+1=13
Let the total wealth be Rs. x, then
Son's share- daughter's share =Rs. 10,000 that is:
13
9x
−
13
x
=10000
⇒
13
9x−x
=10000
⇒
13
8x
=10000
⇒8x=130000
⇒x=
8
130000
⇒x=16250
hence, the total worth of the property is Rs. 16,250.
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