Ratio and proportion
Top questions
See all →- ₹7,800 is divided among A, B and C in the ratio \(\frac{1}{2} : \frac{1}{3} : \frac{1}{4}\). What is B's share? Answer: B. ₹2,400 Answer: (B) ₹2,400 Multiply by LCM 12: ratio = 6 : 4 : 3, total 13 parts. B's share = 4/13 × 7800 = 2400 . 1
- The ratio of boys to girls in a class is 4 : 5. When 8 more boys join the class, the numbers of boys and girls become equal. How many girls are there in the class? Answer: B. 40 Answer: (B) 40 4k + 8 = 5k gives k = 8. Girls = 5 × 8 = 40. 1
- What is the mean proportional between 9 and 64? Answer: C. 24 Answer: (C) 24 Mean proportional = √(9 × 64) = √(576) = 24 . 1
- Rs. 7,200 is divided among A, B and C in the ratio 3 : 4 : 5. By how much does C's share exceed A's share (in Rs.)? Answer: B. 1200 Answer: (B) 1200 One part = 7200 ÷ 12 = 600. C − A = (5 − 3) × 600 = Rs. 1,200. 1
- ₹1,800 is divided between two friends in the ratio 4 : 5. What is the larger share? Answer: D. ₹1000 Answer: (D) ₹1000 Shortcut: 4 + 5 = 9 parts, 1 part = 1800 ÷ 9 = 200. Larger share = 5 × 200 = ₹1000. 1
- Find the fourth proportional to 6, 8 and 15. Answer: C. 20 Answer: (C) 20 If 6 : 8 = 15 : x, then x = 8 × 15/6 = 20 . 1