Question : In an examination out of 6000 students, 60% of boys and 90% of girls passed. If the total pass percentage was 65%, then what would be the number of boys?
Option 1: 3500
Option 2: 5000
Option 3: 4500
Option 4: 5500
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Correct Answer: 5000
Solution : Let the number of boys be $x$ The number of girls = 6000 – $x$ Now, 60% of $x$ + 90% of (6000 - $x$) = 65% of 6000 ⇒ 0.6$x$ + 0.9(6000 – $x$) = 0.65 × 6000 ⇒ 0.6$x$ + 5400 – 0.9$x$ = 3900 ⇒ – 0.3$x$ + 5400 = 3900 ⇒ – 0.3$x$ = – 1500 ⇒ $x$ = $\frac{-1500}{-0.3}$ = $\frac{1500}{\frac{3}{10}}$ = $\frac{1500 × 10}{3}$ = 5000 Hence, the correct answer is 5000.
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Question : In a class of 1500 students, the percentage of girls is 30%. If 80% of the boys failed the examination, find the number of boys who passed the examination.
Option 1: 840
Option 2: 210
Option 3: 550
Option 4: 630
Question : In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of candidates who failed:
Option 1: 45%
Option 2: 45.5%
Option 3: 50%
Option 4: 54.5%
Question : In a class, if 55% of the students are boys and the number of girls is 90, then find the number of boys.
Option 1: 135
Option 2: 120
Option 3: 198
Option 4: 110
Question : 4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on an average. Then the average amount spent by the girls is:
Option 1: Rs. 80
Option 2: Rs. 60
Option 3: Rs. 90
Option 4: Rs. 100
Question : In a class of 60 students, the ratio of girls to boys is 2 : 3. If 20 more girls join the class, then what is the new number of girls in the class?
Option 1: 45
Option 2: 44
Option 3: 50
Option 4: 56
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