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Q.

Rs.4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7 : 4 : 3. What is the share of a woman? 

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a

Rs.166 

b

Rs.256

c

Rs.498 

d

Rs.336 

answer is A.

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Detailed Solution

Given that, Rs.4536 is divided among 4 men, 5 women and 2 boys. 

The ratio of share of a man, a woman and a boy is 7 : 4 : 3

Suppose that the shares of  man, woman and boy are 7x,4x,3x

Hence the total amount is 

47x+54x+23x=28x+20x+6x =54x

it implies htat 

  54x=4536x=453654 =9·6·8454 =84

Therefore, the share of a woman is 4x = 484=Rs 336

 

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