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Question
Mr. Mehra gave one-third of his money to his son, one-fifth of his money to his daughter, and the remaining amount to his wife. If his wife got Rs. 91,000, how much money did Mr. Mehra have originally?
Sum
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Solution
Let Mr. Mehra has money = 1
Money given to his son = `1/3`
and the money given to his daughter = `1/5`
∴ Remaining money given to his wife
= `1-(1/3+1/5)`
= `1-(5+3)/15`
= `1-8/15`
= `(15-8)/15`
= `7/15`
∴ `7/15` of his money = Rs. 91000
∴ Total money = Rs.`(91000xx15)/7`
= Rs. 13,000 × 15
= Rs. 1,95,000
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