Question

A man divides his property so that his son's share to his wife's and wife's share to his daughter's are both as in the ratio 3:1 . If the daughter gets Rs. 10000 less than son, the value (in rupees) of the whole property is..​

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A man divides his property so that his son's share to his wife's and the wife's share to his daughter are both in the ratio 3:1. If the daughter gets 10,000 less than the son, find the total worth of the 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.