UP High Court RO / ARO 06 Jan 2022 Shift 1

The total number of students in a school is 4800, out of which 60% are girls. What is the total number of boys in this school? एक विद्यालय में विद्यार्थियों की कुल संख्या 4800 है जिसमें से 60% लड़कियाँ है। इस विद्यालय में लड़कों की कुल संख्या कितनी है ?

Verified Answer
A. 1920
B. 1980
C. 1910
D. 1930

Explanation:

Given:\nTotal number of students in the school = $4800$.\nPercentage of girls = $60\%$. \nTo find the total number of boys, we first determine the percentage of boys:\nPercentage of boys = $100\% - \text{Percentage of girls}$\nPercentage of boys = $100\% - 60\% = 40\%$. \nNow, calculate the number of boys based on this percentage:\nNumber of boys = $40\%$ of $4800$\nNumber of boys = $\frac{40}{100} \times 4800$\nNumber of boys = $0.40 \times 4800$\nNumber of boys = $1920$. \nAlternatively, we could first calculate the number of girls and then subtract from the total:\nNumber of girls = $60\%$ of $4800 = \frac{60}{100} \times 4800 = 0.60 \times 4800 = 2880$.\nNumber of boys = Total students - Number of girls\nNumber of boys = $4800 - 2880 = 1920$. \nLet's evaluate the options:\nOption (1) $1920$: This matches our calculated number of boys.\nOption (2) $1980$: Incorrect.\nOption (3) $1910$: Incorrect.\nOption (4) $1930$: Incorrect. \nTherefore, the total number of boys in this school is $1920$. The correct option is (1) 1920.