If the numerator of a fraction is increased by 20% and its denominator is decreased by 10%, the fraction becomes 3/5. Find the original fraction. MCQ with Answer and Explanation

If the numerator of a fraction is increased by 20% and its denominator is decreased by 10%, the fraction becomes 3/5. Find the original fraction.
A. 9/20
B. 4/7
C. 2/5
D. 7/15
Answer: Option A
Solution (By JKExamLibrary)
Let original = N/D. (1.2N)/(0.9D) = (4/3)(N/D) = 3/5 → N/D = (3/5)×(3/4) = 9/20.

This question belongs to: Maths Percentage

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Practice More Percentage Questions

Question #1 Report Error
In a bag, 60% are red balls, 30% are blue balls, and the rest are green balls. If 5% of red, 10% of blue, and 20% of green balls are defective, what percent of the total balls are defective?
A. 8%
B. 7.5%
C. 8.5%
D. 7%

Correct Answer: Option A


Explanation:
Red=60, Blue=30, Green=10. Defective: Red 0.05×60=3, Blue 0.1×30=3, Green 0.2×10=2. Total defective=8%. So answer 8%.

This question belongs to: Maths Percentage
Question #2 Report Error
A machine depreciates 12% per year. Its value after 1 year if purchased for Rs. 60,000 is:
A. 52,500
B. 53,000
C. 52,800
D. 52,000

Correct Answer: Option C


Explanation:
60,000 × 0.88 = 52,800.

This question belongs to: Maths Percentage
Question #3 Report Error
A man spends 30% on rent, 20% of the remainder on food, and 25% of the next remainder on education. If he saves Rs. 5460, find his monthly income.
A. Rs. 12000
B. Rs. 12500
C. Rs. 13500
D. Rs. 13000

Correct Answer: Option D


Explanation:
Rent 30%, left 70%. Food 20% of 70%=14% of income, left 56%. Education 25% of 56%=14% of income, left 42% = 5460 → income = 5460/0.42 = 13000.

This question belongs to: Maths Percentage