CAT 2025 Percentages Question (Hard)

Question

In a class, there were more than 10 boys and a certain number of girls. After 40 of the girls and 60 of the boys left the class, the remaining number of girls was 8 more than the remaining number of boys. Then, the minimum possible number of students initially in the class was

Accepted Answer

Let say number of girls be g and number of boys be b. If 40 of the girls left, remaining number of girls 0.6g Also if 60 of the boys left, remaining number of boys 0.4b or, 0.6g 0.4b 8 or, 6g 4b 80 or, 3g 2b 40 So, the possible values of b,g are 13,22 , 16,24 , 19,26 , 22,28 , 25,30 ,..... Now, 0.6g

CAT 2025

Quantitative

Percentages

Hard

In a class, there were more than 10 boys and a certain number of girls. After 40% of the girls and 60% of the boys left the class, the remaining number of girls was 8 more than the remaining number of boys. Then, the minimum possible number of students initially in the class was

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