Ratio and Proportion Aptitude Questions

1. If a : b = 7 : 9 and b : c = 15 : 7, then what is a : c ?

1. 5 : 3
2. 3 : 5
3. 7 : 21
4. 7 : 15

2. If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9 then A : D is equal to

1. 3 : 7
2. 7 : 3
3. 21 : 10
4. 10 : 21

3. If A : B = 3 : 4 and B : C = 8 : 9, then what is A : B : C is ?

1. 8 : 6 : 9
2. 9 : 8 : 6
3. 6 : 8 : 9
4. 3 : 32 : 9

4. If A : B = 1 : 2, B : C = 3 : 4 and C : D = 5 : 6 then D : C : B : A is

1. 6 : 5 : 4 : 2
2. 6 : 3 : 2 : 1
3. 6 : 4 : 2 : 1
4. 48 : 40 : 30 : 15

5. If $x=\frac{1}{3}y$ and $y=\frac{1}{2}z$ then x : y : z is equal to 

1. 3 : 2 : 1
2. 1 : 2 : 6
3. 1 : 3 : 6
4. 2 : 4 : 6

6. If $\frac{1}{2}A =\frac{2}{3}B =\frac{6}{7}C$ then A : B : C is equal to 

1. 12 : 9 : 7
2. 1 : 2 : 6
3. 1 : 3 : 6
4. 2 : 4 : 6

7. If $A:B=\frac{1}{2}:\frac{1}{3}$, $B:C=\frac{1}{5}:\frac{1}{3}$, then (A+B):(B+C) is equal to

1. 5 : 8
2. 9 : 10
3. 15 : 16
4. 6 : 15

8. If a : b = c : d = e : f = 1 : 2 then (3a+5c+7e):(3b+5d+7f) is equal to

1. 8 : 7
2. 2 : 1
3. 1 : 4
4. 1 : 2

9. If x : y = 3 : 1 then $(x^3-y^3):(x^3+y^3)$ = ?

1. 13 : 14
2. 14 : 13
3. 10 : 11
4. 11 : 10

10. If $\frac{a}{3} =\frac{b}{4} =\frac{c}{7}$ then $\frac{a+b+c}{c}$ is equal to 

1. 0
2. 1
3. 2
4. 3

11. The ratio of two numbers is 3 : 8 and their sum is 77. The smaller of the two numbers is

1. 21
2. 194
3. 69
4. 59

12. The ratio of two numbers is 3 : 8 and their difference is 55. The smaller of the two numbers is

1. 33
2. 15
3. 88
4. 59

13. Four numbers are in the ratio 1 : 2 : 3 : 4. Their sum is 16. The sum of the first and fourth number is equal to

1. 5
2. 8
3. 10
4. 80

14. 0.6 of a number is equal to 0.08 of other number. What is the ratio of both numbers.

1. 3 : 4
2. 4 : 3
3. 2 : 15
4. 2 : 9

15. Three numbers are in the ratio $\frac{1}{2}:\frac{2}{3}:\frac{3}{4}$. The difference between the greatest and the smallest number is 36. The numbers are

1. 72,84,108
2. 60,72,96
3. 72,84,96
4. 72,96,108

16. ₹3400 is divided among A, B, C, D in such a way that the share of A and B, B and C, C and D may as 2 : 3, 4 : 3 and 2 : 3 respectively. The sum of shares of B and D is

1. ₹2040
2. ₹1680
3. ₹2000
4. ₹1720

17. A sum of ₹370 is too divided among A, B and C such that $\frac{A’s\, share}{B’s\, share}=\frac{B’s\, share}{C’s\, share}=\frac{3}{4}$ then A’s share (in ₹) is

1. 240
2. 120
3. 100
4. 90

18. If a certain amount is fully distributed among A, B and C in such a way that A receives $\frac{1}{2}$ of the amount, B receives $\frac{1}{3}$ of the amount and C receive ₹1200. So find how much amount A get?

1. ₹ 4000
2. ₹ 1600
3. ₹ 3600
4. ₹ 1800

19. A, B and C are partners in a company. In any year A gets $\frac{1}{3}$ part of the profit, B gets $\frac{1}{4}$ part and C gets ₹ 5000. How much amount did A get as profit?

1. ₹ 5000
2. ₹ 4000
3. ₹ 3000
4. ₹ 1000

20. Any amount had distributed among A, B and C. A gets $\frac{3}{16}$ part of the total amount and B gets $\frac{1}{4}$ part of the total amount and C gets ₹ 81 then what is the amount received by B?

1. ₹ 30
2. ₹ 36
3. ₹ 32
4. ₹ 40

21. ₹ 1980 is divided among A, B and C so that half of A’s part, one-third of B’s part and one-sixth part are equal. Then B’s part is

1. ₹ 540
2. ₹ 660
3. ₹ 1080
4. ₹ 360

22. A, B and C invested ₹ 13,000, ₹ 17,000 and ₹ 5,000 respectively in a business. At the end of the year, they earn a profit of ₹ 1400. B’s share of profit is

1. ₹ 680
2. ₹ 410
3. ₹ 630
4. ₹ 720

23. If a sum of money is to be divided among A, B and C such that A’s share is equal to twice B’s share and B’s share is 4 times C’s share, then their shares are in the ratio

1. 1 : 2 : 4
2. 1 : 4 : 1
3. 8 : 4 : 1
4. 2 : 4 : 1

24. The ratio of the salary of A, B and C is 3 : 2 : 9. If C gets ₹ 2100 more than that of B then what is the salary of A?

1. ₹ 900
2. ₹ 1050
3. ₹ 780
4. ₹ 1320

25. ₹ 1740 is divided among A, B and C such that ₹0.5 of A = ₹0.6 of B = ₹0.75 of C. Then C will get

1. ₹ 580
2. ₹ 696
3. ₹ 348
4. ₹ 464

26. A man left ₹ 8600 for his 5 son, 4 daughter and 2 nephew. If each daughter gets four times that of nephews and each son gets five times of nephew. What amounts each daughter will get

1. ₹ 100
2. ₹ 600
3. ₹ 800
4. ₹ 1000

27. The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 : 2 : 3 : 4. If the loss in the total value of the diamond was ₹ 70,000, what was the price of the original diamond?

1. ₹ 100000
2. ₹ 124000
3. ₹ 200000
4. ₹ 150000

28. A diamond was broken into 3 parts in the ratio of 2: 3 : 5. If the value of the diamond is in proportion to the square of its weight, what is the decrease in the value considering that the actual value of the diamond was ₹ 200000?

1. ₹ 100000
2. ₹ 124000
3. ₹ 200000
4. ₹ 150000

29. The ratio of the expenditure of A, B and C are 16 : 12 : 9 respectively and their savings are 20%, 25% and 40% of their income. If the sum of their income is ₹ 1530, find B’s salary?

1. ₹ 440
2. ₹ 420
3. ₹ 500
4. ₹ 480

29. The ratio of the expenditure of A, B and C are 16 : 12 : 9 respectively and their savings are 20%, 25% and 40% of their income. If the sum of their income is ₹ 1530, find B’s salary?

1. ₹ 440
2. ₹ 420
3. ₹ 500
4. ₹ 480

30. In the year 2013, in a company the ratio of employees in three different departments HR, MT and TA are 2 : 3 : 4 respectively. In the year 2014 in each department if ’n‘ number of employees left then the ratio becomes 3 : 5 : 7. In the year 2015 in each department 5 employees left then the ratio became 1 : 2 : 3. Then what is the total number of employees in the year 2014?

1. 75
2. 65
3. 55
4. 85