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Consider the data of four schools (S1, S2, S3, S4) in a city in this table below:

SchoolNumber of StudentsPercentage of Boys
IXXXIXIIIXXXIXII
S11209015012540306080
S215010012010030555045
S314012010012020406560
S41001008015035458040

On arranging schools in descending order of total number of girls in all classes, the correct order is ______.

Solution

✅ Correct Option: 4

Since the table gives the percentage of boys, the percentage of girls is calculated as:

%Girls=100%−%Boys\% \text{Girls} = 100\% - \% \text{Boys}

The number of girls for each class is calculated using:

Number of Girls=Total Students×%Girls\text{Number of Girls} = \text{Total Students} \times \% \text{Girls}


The table below breaks down the calculation for each class and sums the total girls for every school.

SchoolClass IXClass XClass XIClass XIITotal Girls
S1120×60%=72120 \times 60\% = 7290×70%=6390 \times 70\% = 63150×40%=60150 \times 40\% = 60125×20%=25125 \times 20\% = 25220
S2150×70%=105150 \times 70\% = 105100×45%=45100 \times 45\% = 45120×50%=60120 \times 50\% = 60100×55%=55100 \times 55\% = 55265
S3140×80%=112140 \times 80\% = 112120×60%=72120 \times 60\% = 72100×35%=35100 \times 35\% = 35120×40%=48120 \times 40\% = 48267
S4100×65%=65100 \times 65\% = 65100×55%=55100 \times 55\% = 5580×20%=1680 \times 20\% = 16150×60%=90150 \times 60\% = 90226

Arranging the schools from the highest number of girls to the lowest:

S3: 267

S2: 265

S4: 226

S1: 220

Therefore, the descending order is: S3,S2,S4,S1S3, S2, S4, S1

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