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Unit 4 - Practice Quiz

PEA305

1 If and , find .

A. 55 : 77 : 66
B. 30 : 42 : 77
C. 35 : 49 : 42
D. None of these

2 Find the fourth proportional to 4, 9, and 12.

A. 18
B. 21
C. 27
D. 36

3 If , find the value of .

A. 7 : 32
B. 32 : 7
C. 4 : 3
D. 5 : 2

4 Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. Find the smaller number.

A. 27
B. 33
C. 49
D. 55

5 Find the mean proportional between 0.08 and 0.18.

A. 0.12
B. 0.09
C. 0.14
D. 0.24

6 What number must be added to each term of the ratio 7:11 so that the ratio becomes 3:4?

A. 8
B. 7.5
C. 6.5
D. 5

7 If Rs. 782 is to be divided into three parts in the ratio , then the first part is:

A. Rs. 182
B. Rs. 190
C. Rs. 196
D. Rs. 204

8 Calculate the duplicate ratio of 3 : 4.

A. 9 : 16
B. 6 : 8
C. 27 : 64
D.

9 The third proportional to 9 and 15 is:

A. 25
B. 30
C. 21
D. 27

10 A bag contains 50p, 25p, and 10p coins in the ratio 5:9:4, amounting to Rs. 206. Find the number of 50p coins.

A. 20
B. 200
C. 360
D. 160

11 If and , then is:

A. 1 : 3 : 6
B. 1 : 2 : 6
C. 2 : 3 : 6
D. 3 : 1 : 2

12 The incomes of two persons are in the ratio 5:3 and their expenditures are in the ratio 9:5. If they save Rs. 1300 and Rs. 900 respectively, find their incomes.

A. Rs. 4000, Rs. 2400
B. Rs. 3000, Rs. 1800
C. Rs. 5000, Rs. 3000
D. Rs. 4500, Rs. 2700

13 In a mixture of 60 liters, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quantity of water to be further added is:

A. 20 liters
B. 30 liters
C. 40 liters
D. 60 liters

14 The ratio of the ages of A and B is 4:5. After 5 years, the ratio will be 5:6. What is the present age of A?

A. 20 years
B. 25 years
C. 30 years
D. 40 years

15 Ten years ago, the age of a father was four times the age of his son. Ten years hence, the age of the father will be twice that of his son. The present ages of the father and son are:

A. 50, 20
B. 60, 20
C. 55, 25
D. None of these

16 The sum of the ages of a father and his son is 100 years now. 5 years ago, their ages were in the ratio 2:1. The ratio of the ages of father and son after 10 years will be:

A. 5 : 3
B. 4 : 3
C. 10 : 7
D. 3 : 5

17 A is two years older than B who is twice as old as C. If the total of the ages of A, B, and C be 27, then how old is B?

A. 7
B. 8
C. 9
D. 10

18 The ratio of the present ages of P and Q is 3:4. Five years ago, the ratio of their ages was 5:7. Find their present ages.

A. 15, 20
B. 30, 40
C. 20, 30
D. 25, 30

19 Six years ago, the ratio of the ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?

A. 16 years
B. 18 years
C. 20 years
D. 22 years

20 The age of a father is equal to the sum of the ages of his 5 children. After 15 years, the sum of the ages of the children will be twice the age of the father. Find the age of the father.

A. 30
B. 36
C. 40
D. 45

21 Rajan got married 8 years ago. His present age is times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of his sister is:

A. 32 years
B. 36 years
C. 38 years
D. 40 years

22 The sum of the ages of a mother and her daughter is 50 years. Also 5 years ago, the mother's age was 7 times the age of the daughter. What are the present ages of the mother and daughter?

A. 40, 10
B. 42, 8
C. 38, 12
D. 35, 15

23 The ratio between the present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?

A. 3:4
B. 3:5
C. 4:3
D. 7:8

24 At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?

A. 12 years
B. 15 years
C. 19 and half years
D. 21 years

25 A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

A. 32 years
B. 36 years
C. 40 years
D. 48 years

26 Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:

A. Rs. 5400
B. Rs. 7200
C. Rs. 8400
D. Rs. 9600

27 A, B, and C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, and C in an annual profit of Rs. 40,500 are:

A. Rs. 10500, Rs. 13500, Rs. 16500
B. Rs. 11500, Rs. 13000, Rs. 16000
C. Rs. 11000, Rs. 14000, Rs. 15500
D. None of these

28 A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?

A. 3
B. 4
C. 5
D. 6

29 A, B, and C hire a meadow. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months, and C puts 15 oxen for 3 months for grazing. If the rent of the meadow is Rs. 175, how much must C pay as his share of rent?

A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60

30 A, B, and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is:

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 9000

31 A and B are partners in a business. A contributes of the capital for 15 months and B received of the profit. For how long was B's money used?

A. 6 months
B. 8 months
C. 10 months
D. 12 months

32 Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

A. Rs. 9,423
B. Rs. 10,250
C. Rs. 10,500
D. Rs. 12,500

33 A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

A. Rs. 1425
B. Rs. 1500
C. Rs. 1537.50
D. Rs. 1576

34 A, B, and C enter into a partnership. A invests 3 times as much as B invests and B invests two-thirds of what C invests. Then the ratio of capitals A:B:C is:

A. 3 : 2 : 6
B. 6 : 2 : 3
C. 2 : 3 : 6
D. 6 : 2 : 1

35 Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months, and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

36 Working partner A and sleeping partner B start a business. A puts in Rs. 5000 and B puts in Rs. 6000. A receives 12.5% of the profit for managing the business, and the rest is divided in proportion to their capitals. If A's total share is Rs. 880, find the total profit?

A. Rs. 1500
B. Rs. 1600
C. Rs. 1760
D. Rs. 1800

37 A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by:

A. Rs. 2400
B. Rs. 3000
C. Rs. 3600
D. Rs. 4800

38 In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg?

A. 7 : 8
B. 8 : 7
C. 3 : 4
D. 4 : 3

39 In what ratio must water be mixed with milk to gain 16.66% on selling the mixture at cost price?

A. 1 : 6
B. 6 : 1
C. 2 : 3
D. 4 : 3

40 How many kg of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

A. 36 kg
B. 42 kg
C. 54 kg
D. 63 kg

41 A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A. 400 kg
B. 560 kg
C. 600 kg
D. 640 kg

42 A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A.
B.
C.
D.

43 Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

A. Rs. 169.50
B. Rs. 170
C. Rs. 175.50
D. Rs. 180

44 A container contains 40 liters of milk. From this container 4 liters of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A. 26.34 liters
B. 27.36 liters
C. 28 liters
D. 29.16 liters

45 Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 % milk is:

A. 2 : 7
B. 3 : 5
C. 5 : 2
D. 5 : 7

46 A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 liters of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?

A. 10
B. 20
C. 21
D. 25

47 The ratio of milk and water in a 20 liters mixture is 3 : 1. How much milk must be added so that the ratio becomes 4 : 1?

A. 4 liters
B. 5 liters
C. 6 liters
D. 7 liters

48 Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

A. 1 : 3
B. 2 : 3
C. 3 : 4
D. 4 : 5

49 A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

A.
B.
C.
D.

50 Three vessels whose capacities are in the ratio 3:2:1 are completely filled with milk and water. The ratio of milk and water in the mixture of vessels are 5:2, 4:1, and 4:1 respectively. The percentage of water in the new mixture obtained when 1/3 of first, 1/2 of second and 1/7 of third vessel is taken out and mixed together is:

A. 24%
B. 28%
C. 32%
D. None of these

51 Two vessels contain milk and water in the ratio 7:5 and 7:9. If equal quantities from both vessels are mixed, find the ratio of milk and water in the new mixture.

A. 1:1
B. 49:47
C. 49:40
D. None of these