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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 ₹ 10,000 less than son, the value (in rupees) of the whole property is
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- ₹ 16,250
- ₹ 16,000
- ₹ 18,250
- ₹ 17,000
Correct Option: A
Son : wife = 3 : 1 = 9 : 3
Wife : daughter = 3 : 1
∴ Son : wife : daughter
= 9 : 3 : 1
Sum of ratios = 9 + 3 + 1 = 13
If total wealth be ₹ x, then
Son’s share – daughter’s share = ₹ 10,000
⇒ | − | = 10,000 | ||
13 | 13 |
⇒ C’s share = | = 10,000 | |
13 |
⇒ 8x = 13,00,00
⇒ x = | = ₹ 16250 | |
8 |