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Question

Rs. 3000 were divided among 100 children. If each girl gets Rs. 50 and each boy gets Rs. 25, then the number of boys is

A
20
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B
40
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C
60
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D
80
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Solution

The correct option is D 80
Let number of girls be x and number of boys be y.
According to the question,
x+y=100 .......(1)
50x+25y=3000 ........(2)
From equation 1, x=100y
Therefore, in equation 2,
50(100y)+25y=3000
2(100y)+y=120
y=80
x=20
Therefore, number of boys is 80.
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