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Question

A man has divided his total money in his will in such a way that half of it goes to his wife, 23rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs.20,000, how much money will each son get ?

A
Rs.53,333.33
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B
Rs.53,000.14
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C
Rs.45,333.33
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D
Rs.52,000.44
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Solution

The correct option is A Rs.53,333.33
Let the total money the man had Rs. x.
Money gone to wife =Rs.x2
Remaining money =x2
Sons' share =23 of x2=Rs.x3
Each son's share =13 of Rs x3=Rs.x9
Daughters' share =x2x3=x6
Each daughter's share =14×Rs.x6=Rs.x24
Given x24=20000x=Rs.480000
Each son's share =4800009=Rs.53,333.33

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