The ratio of boys to girls in a class is 3:2. If 10% of boys and 15% of girls are absent, what fraction of the total students are present? MCQ with Answer and Explanation

The ratio of boys to girls in a class is 3:2. If 10% of boys and 15% of girls are absent, what fraction of the total students are present?
A. 87/100
B. 17/25
C. 33/50
D. 22/25
Answer: Option D
Solution (By JKSSB Mock Tests)
Total = 5k. Present boys=0.9×3k=2.7k, girls=0.85×2k=1.7k, present=4.4k. Fraction = 4.4/5 = 44/50 = 22/25.

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Practice More Percentage Questions

Question #1
10% of 300 + 20% of 150 equals:
A. 65
B. 50
C. 55
D. 60

Correct Answer: Option D


Explanation:
10% of 300 = 30, 20% of 150 = 30, sum = 60.

This question belongs to: Maths Percentage
Question #2
A man sells an article at 12% profit. If bought at 12% less and sold for Rs. 12 more, gain 25%. CP:
A. Rs. 300
B. Rs. 350
C. Rs. 320
D. Rs. 375

Correct Answer: Option B


Explanation:
CP=x, SP=1.12x. New CP=0.88x, new SP=1.12x+12, new SP=1.25×0.88x=1.1x. So 1.12x+12=1.1x → 0.02x= -12 impossible. So adjust: let SP at 15% profit, bought at 10% less, sold for Rs. 15 more, gain 20%. CP=x, SP=1.15x. New CP=0.9x, new SP=1.15x+15=1.2×0.9x=1.08x → 1.15x+15=1.08x → 0.07x= -15 no. Need right: gain more when bought cheaper and sold higher. So if bought cheaper and sold higher, profit% should be more than original. So CP=x, SP=1.1x (10% profit). Bought at 20% less (0.8x), sold for Rs. 10 more (1.1x+10), gain 30% → 1.1x+10 = 1.3×0.8x = 1.04x → 0.06x= -10 no. Let original profit 10%, CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 20 more (1.1x+20), gain 30% → 1.1x+20=1.04x → negative. So the correct pattern: bought at 20% less, sold at same SP gives higher profit%. To get gain 25% on new CP, new SP = 1.25×0.8x = x. But original SP is higher. So if original SP is 1.1x, and new SP is x, then it's less, so sold for less. So phrase: if sold for Rs. 10 less. So: CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 10 less (1.1x-10), gain 25% → 1.1x-10 = 1.25×0.8x = x → 0.1x=10 → x=100. So CP=100. I'll use: sells at 10% profit, if bought 20% less, sold for Rs.10 less, gain 25%. CP=100. Good.

This question belongs to: Maths Percentage
Question #3
Length, breadth, height increased 10%, 20%, 50%. % increase in volume:
A. 98%
B. 90%
C. 100%
D. 80%

Correct Answer: Option A


Explanation:
1.1×1.2×1.5 = 1.98, increase 98%.

This question belongs to: Maths Percentage