₹ 180 are to be divided among 66 persons (men and women).

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₹ 180 are to be divided among 66 persons (men and 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. The number of men is

1. ₹ 20
2. ₹ 24
3. ₹ 30
4. ₹ 36

Correct Option: C

Suppose amount received by men = 5x.
and amount received by women = 4x
According to question
5x + 4x = 180
⇒ 9x = 180 ⇒ x = 20
∴ Amount received by men = ₹ 100
Amount received by women= ₹ 80
Suppose the number of men be y and that of women be (66 – y).
According to question

100		= 3/2
y

80
60 − y

⇒	100	×	66 − y	=	3
	y		80		2

⇒	5(66 − y)	=	3
	4y		2

⇒ 660 – 10y = 12y
⇒ 22y = 660 ⇒ y = 30