Number of girls who chose Law is what percent less than the number of boys who chose BCom ........

Quantitative Aptitude ( CCS) Case Studies

Study the following information carefully and answer the questions that follow:
From a school a total of 1320 students chose – Law, B.Com, B.Tech and B.Sc as their streams after class 12th . 55% of the total students are boys. The number of boys who chose Law is 12 less than 2/11 of the total boys. The number of boys who chose BTech is 25% more than number of boys who chose Law. The number of boys who chose B.Com is 50 more than the number of girls in B.Tech. Total number of girls who chose B.Com and B.Sc is 284. Total number of students who chose Law is 260. Number of girls in B.Com is 50 less than the number of girls in B.Tech. Number of boys who shoes B.Sc is 16 more than 10/33 of the total number of boys.

Number of girls who chose Law is what percent less than the number of boys who chose BCom?

17 6/11%

38 7/8%

34 2/3%

36 4/11 %

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Explanation:

Total students = 1320
Boys = 55% of 1320 = 726
So number of girls = 1320 – 726 = 594
Boys in Law = 2/11 * 726 – 12 = 120
Total in Law = 260, so girls in Law = 260 – 120 = 140
Boys in BSc = 10/33 * 726 + 16 = 236
Boys in BTech = 25% more than in Law = 125/100 * 120 = 150
So boys in Law + BCom + BTech + BSc = 726
So 120 + BCom + 150 + 236 = 726
So boys who chose BCom = 220
Girls in BTech = 220 – 50 = 170
So girls in Bcom = 170 – 50 = 120
Now girls in Law + BCom + BTech + BSc = 594
140 + 120 + 170 + BSc = 594
So girls in BSc = 164