Question

A person gave 1/3 rd of his income to his wife,1/4th to his son & 1/5th to his daughter.He saved 65,000 find the share of his wife

Answer 1

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Answer 2

Answer:

Share of the wife = 100000

Step-by-step explanation:

Given that the amount gave to his wife = 1/3 rd of his income

                  the amount gave to his son = 1/4th of his income  

          the amount gave to his daughter = 1/5th of his income

     the amount he saved = 65000

let  x be the total income  

    wife share = $\frac{1}{3} x$

    son share = $\frac{1}{4} x$   and daughter share = $\frac{1}{5}x$

    therefore total income x = $\frac{1}{3} x+ \frac{1}{4} x + \frac{1}{5} x +65000$

                                            x = $\frac{4(5)x + 3(5)x+3(4)x }{60}$ +65000

                                             x = $\frac{ 47x}{60}$ + 65000

                                             x - $\frac{47x}{60}$ =65000

                                            ( 60x-47x)/ 60 =65000

                                           13x /60 =65000

                                           13x = 3900000

                                   total income x = 300000

the wife share =  1/3 rd of his income

                         =  $\frac{1}{3} (300000)$

                          = 100000