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.
Answer & explanation
Correct answer: option 3
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