Rs. 180 are to be divided among 66 persons (men & women). The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. Find the amount received by each man.
Answer & explanation
Correct answer: option 3
Men : Women
Amount of all : 5 : 4
Amount of each : 3 : 2
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No. of person : \(\frac{5}{3}\) : \(\frac{4}{2}\)
5 : 6
Now,
(i) M : W
Amnt. 5 : 4 = 9
↓ x20 ↓ x20
100 180 (given)
(ii) M : W
No. 5 : 6 = 11
↓ x6 ↓ x6
30 66 (given)
Thus,
Amount of each man = \(\frac{total\;amount\;of\;all\;men}{no.\;of\;men}\)
\(\frac{100}{30}\) = 3\(\frac{1}{3}\)