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Q.

15 men, 18 women and 12 boys working together earned Rs. 2070 If the daily wages of a man, a woman and a boy are in the ratio 4: 3: 2 the daily wages (in Rs) of 1 man, 2 women and 3 boys are,

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a

Rs. 135

b

Rs. 180

c

Rs. 240

d

Rs. 205

answer is C.

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Detailed Solution

Given
Number of men=15
Number of women=18
Number of boys =12
Total wage earned = Rs. 2070
Ratio of daily wage of man, a woman and a boy = 4: 3: 2.
Suppose the daily wages of a man, =4k
The daily wages of a woman =3k
The daily wages of a woman boy=2k.

15 \times 4 k + 18 \times 3 k + 12 \times 2 k = 2070

\Rightarrow 60 k + 54 k + 24 k = 2070

\Rightarrow 138 k = 2070

\Rightarrow k = 15

Daily wages of a man, = Rs.60
Daily wages of woman = Rs.45 Daily wages of boy =Rs.30
Daily wages of 1 man + 2 women + 3 boys are,

= Rs . 60 + 2 \times Rs . 45 + 3 \times Rs . 30

= Rs . 60 + Rs . 90 + Rs . 90

= Rs . 240

Hence, the daily wages of 1 man, 2 women and 3 boys are

Rs . 240

.
Correct option is 3.

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