/* MARKETING SCRIPT */?>
The academic team of Physics Wallah prepared a worksheet for class 8 chapter ratio and proportion encourages the students to become familiar with many questions and think more about the topic. Questions are related to expressing ratios in a very simple way, simplifying ratios, comparing ratios, arranging ratios in ascending or descending order, and proportion and mean proportional between numbers. Do follow CBSE Worksheet for class 8 Mathematics. Check out main page of Physics Wallah.
a, b, c, d are in proportion if a/d = b/c
If a: b:: b: c, then a/b = b/c
b2 = ac
b = √ac
Duplicate Ratio: The duplicate ratio of (a : b) is (a2 : b2)
Sub-Duplicate Ratio: The sub-duplicate ratio of (a: b) is
Triplicate Ratio: The Triplicate ratio of (a : b) is (a3 : b3)
Sub-Triplicate Ratio: The sub-triplicate ratio of (a: b) is (a1/3: b1/3)
Q1. If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c.
Q2. Find the fourth proportional of 5, 8, 15.
Q3. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4 , then find the first part.
Q4. A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.
Q5. The third proportional of 0.36 and 0.48 is:
Q6. If 2A = 3B and 4B = 5C, then A : C is:
A) 4 : 3
B) 8 : 15
C) 15 : 8
D) 3 : 4
Q7. If x : y = 5 : 2, then (8x + 9y) = (8x + 2y) is:
A) 22 : 29
B) 26 : 61
C) 29 : 22
D) 61 : 26
Q8. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
Q9. The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are:
A) 9, 12, 21
B) 15, 20, 25
C) 18, 24, 42
D) none of these
Q10. What least common number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?
Q11. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel the same distance is:
Q12. Monthly incomes of A and B are in the ratio of 4:3 and their savings are in the ratio of 3:2. If the expenditure of each will be Rs. 600, what will be the monthly income of B?
Q13. In a bag there are coins of 25p, 10p and 5p in the ratio of 1:2:3. If there is Rs.30 in all, how many 5p coins are there?
Q14. In a 60 liter mixture of milk and water, the ratio of milk to water is 2:1. How many liters of water is to be added to this, to make the ratio 1:2 in the new mixture?
Q15. x/y = 3/2 If , then is: