Rs. 430 is divided among 45 persons such that the ratio of total amount received by all men, women and children are in the ratio 12 : 15 : 16. While the ratio of amount received by each man, woman and child is 6 : 5 : 4. Find the money received by each man.

12

                       man             woman            child

Total amount      12        :        15        :        16    ⇒ 43R' = 430 ⇒ 1R' = 10

Each Amount       6        :         5         :         4       

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No.                   \(\frac{12}{6}\)       :        \(\frac{15}{5}\)        :        \(\frac{16}{4}\)

                        =  2         :          3        :         4       ⇒9 R =45 

                                                                               ⇒1R =5                   

⇒ Total amount received by all Men = 12× 10 = 120

⇒ Total no. of man = 2 × 5 = 10

Therefore,

⇒ Amount received by each man = \(\frac{120}{10}\) = Rs. 12