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Q.
A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
A.
35
B.
40
C.
45
D.
50
View Answer
Correct choice: B
Explanation:
Step (i): Let x be the number of boys and y be the number of girls. Given total number of boys and girls = 100 x+y=100 -------------- (i) Step (ii): A boy gets Rs. 3.60 and a girl gets Rs. 2.40 The amount given to 100 boys and girls = Rs. 312 3.60x + 2.40y = 312 -------------- (ii) Step (iii): Solving (i) and (ii) 3.60x + 3.60y = 360 --------- Multiply (i) by 3.60 3.60x + 2.40y = 312 --------- (ii) 1.20y = 48 y = 48 / 1.20 = 40 Number of girls = 40
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