Directions (01 – 05): Study the following information carefully and answer the questions given below.

1) What is the ratio of the number of students from E to the students participated in sports from C & D?

A.14: 1

B.1: 14

C.13: 21

D.21: 13

E.None of these

2) What % is the total number of students participated in sports from all the classes together?

A.15.5%

B.17.8%

C.20.3%

D.13.5%

E.None of these

3) Students participating in sports from C & D together is how much % more/less than the no. of students in A?

A.71.72%

B.73.15%

C.79.16%

D.76.18%

E.None of these

4) What is the difference between the no. of students participating sports in A & B together and the total no. of students in D & E together?

A.792

B.996

C.874

D.926

E.None of these

5) In which of the following, the no. of students participating sports is higher?

A.A

B.E

C.B

D.C

E.None of these

Caselet

Directions (06 -10): Study the following information carefully and answer the questions given below.

A, B, C started a business. They invested amounts in the ratio of 1: 2: 3 for 3 months respectively. After this they invested in the ratio of 2: 3: 2 respectively. Investment of A for 6 months is 1600 less than that of C. After 6 months A, B, C invests 2000, 3000 and 4000 respectively for 3 months.

A.46000

B.54000

C.36000

D.42000

E.None of these

7) If B invested 900 for second 3 months, the total profit ratio of A, B & C is

A.34: 55: 70

B.42: 55: 60

C.48: 62: 91

D.42: 34: 91

E.None of these

8) Find the total investment of A if the profit ratio of B to the total profit is 2: 5.

A.12000

B.16000

C.14000

D.18000

E.None of these

9) If the total profit earned by A and C is 32400, what is the amount invested by A, B, C in the second 3 months.

A.3600

B.3200

C.2400

D.2800

E.None of these

10) If A, B and C invests for next 3 months with the double amount they invested in the first 3 months, the profit ratio of A and B becomes 106/179. What is the overall amount invested by A?

A.4600

B.4700

C.4800

D.5700

E.None of these

Answers:

Directions (01 – 05):

1) Answer: A

Required ratio = 630: 45 => 126: 9 => 14: 1

2) Answer: A

Required percentage = 279/1800 * 100 = 15.5%

3) Answer: C

Required percentage = [(18 + 27) – 216]/216 * 100

= 171/216 * 100

= 79.16%

4) Answer: A

Required difference = 900 – 108 = 792

5) Answer: B

A – 27

B – 81

C – 18

D – 27

E – 126

Class E has maximum number of students participating in sports.

Directions (06 – 10):

1^st 3 months: x: 2x: 3x

2^nd 3 months: 2y: 3y: 2y

3^rd 3 months: 2000: 3000: 4000

2y + x = (2y + 3x) – 1600

x = 800

So, 1^st 3 months: 800: 1600: 2400

To find profit,

(x * 3) + (2y * 3) + 6000: (2x * 3) + (3y * 3) + 9000: (3x * 3) + (2y * 3) + 12000

3x + 6y + 6000: 6x + 9y + 9000: 9x + 6y + 12000

x = 800 so,

6y + 8400: 9y + 13800: 6y + 19200

6) Answer: D

Now,

A’s profit, 6y + 8400 = 12000

y = 600

B and C’s profit, 9y + 13800 + 6y + 19200 = 5400 + 13800 + 3600 + 19200

= 42000

7) Answer: A

B: 3y = 900

y = 300

Profit ratio,

(6 * 300 + 8400): (9 * 300 + 13800): (6 * 300 + 19200)

10200: 16500: 21000

Profit ratio of A, B and C = 34: 55: 70

8) Answer: B

Given ratio = (9y + 13800)/(21y + 41400) = 2/5

45y – 42y = 82800 – 69000

3y = 13800

y = 4600

Now, 800 + (2 * 4600) + 6000 = 16000

9) Answer: D

A & C’s profit

12y + 27600 = 32400

y = 400

For second 3 months,

2y + 3y + 2y = 7y = 2800

10) Answer: A

Profit ratio of A and B,

(6y + 8400 + 1600)/(9y + 13800 + 3200) = 106/179

(6y + 10000)/(9y + 17000) = 106/179

y = 100

Overall investment by A,

x + 2y + 2000 + 2x = 800 + 200 + 2000 + 1600 = 4600