Practice | Hashtable

41. Study the following pie-chart and table carefully and answer the questions given below:
Percentage-wise Distribution of the Number of Mobile phones Sold by a Shopkeeper During Six Months. Ratio of mobile phones sold of Company A & Company B.

Total number if mobile phones sold = 45000

Month Ratio (A : B)

July 8 : 7

August 4 : 5

September 3 : 2

October 7 : 5

November 7 : 8

December 7 : 9

If 35% of the mobile phones sold by company A during November were sold at a discount, how many mobile phones of company A were sold without a discount, during that month?

A. 882

B. 1635

C. 1638

D. 885

Discuss

Solution:

Number of mobile phones sold by A during November

\begin{aligned} = 45000 \times \frac{12}{100} \times \frac{7}{15} \\ = 2520 \end{aligned}

Number of phones sold by A in November without discount

\begin{aligned} = 2520 \times \frac{65}{100} \\ = 1638 \end{aligned}

42. Study the following pie-chart and table carefully and answer the questions given below:
Percentage-wise Distribution of the Number of Mobile phones Sold by a Shopkeeper During Six Months. Ratio of mobile phones sold of Company A & Company B.

Total number if mobile phones sold = 45000

Month Ratio (A : B)

July 8 : 7

August 4 : 5

September 3 : 2

October 7 : 5

November 7 : 8

December 7 : 9

What is the total number of mobile phones Sold of company B during August and September together?

A. 10000

B. 15000

C. 10500

D. 9500

Discuss

Solution:

Mobile phones of B sold during August

\begin{aligned} = 45000 \times \frac{22}{100} \times \frac{5}{9} \\ = 5500 \end{aligned}

Mobile phones of B sold during September

\begin{aligned} = 45000 \times \frac{25}{100} \times \frac{2}{5} \\ = 4500 \end{aligned}

∴ Required number of phones sold
= 5500 + 4500
= 10000

43. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in Science?

A. 14 : 23

B. 2 : 3

C. 114 : 121

D. 53 : 65

Discuss

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

(Number of girls enrolled in Arts) : (Number of boys enrolled in Science)
= 570 : (770 - 165)
= 570 : 605
= 114 : 121

44. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

The number of girls enrolled in Arts, Science and Commerce forms what percent of total number of students in the college?

A. 25%

B. 40%

C. 60%

D. 75%

Discuss

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

Number of girls enrolled in Arts, Science and Commerce
= 570 + 165 + 315
= 1050
Required percentage

\begin{aligned} = (\frac{1050}{3500} \times 100) % \\ = 30 % \end{aligned}

45. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

What is the total number of girls enrolled in Science and Commerce together?

A. 450

B. 495

C. 345

D. 480

Discuss

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

Total number of girls enrolled in Science and Commerce together
= 165 + 315
= 480

46. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

What is the total number of boys enrolled in Management and IT together?

A. 1050

B. 810

C. 1120

D. 980

Discuss

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

Total number of boys enrolled in Management and IT together
= (560 - 180) + (700 - 270)
= 380 + 430
= 810

47. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

If 20% of the girls enrolled in science change their stream to Management, then what will be the new number of Management students altogether?

A. 593

B. 733

C. 453

D. 1003

Discuss

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

Number of Management students already enrolled = 560
New required number

\begin{aligned} = 560 + (\frac{20}{100} \times 165) \\ = 560 + 33 \\ = 593 \end{aligned}

48. Study the pie-chart given below carefully and answer the questions that follow.
Percentage-wise break up of students in terms of specialization in M.B.A.
Total Number of students = 8000.

Students having IB as specialisation forms approximately what percent of students having Marketing as specialisation?

A. 116%

B. 86%

C. 124%

D. 74%

Discuss

Solution:

Number of students in various specialisations:

\begin{aligned} IB → \frac{19}{100} \times 8000 = 1520 \\ IR → \frac{16}{100} \times 8000 = 1280 \\ Finance → \frac{12}{100} \times 8000 = 960 \\ Marketing → \frac{22}{100} \times 8000 = 1760 \\ IT → \frac{17}{100} \times 8000 = 1360 \\ HR → \frac{14}{100} \times 8000 = 1120 \end{aligned}

\begin{aligned} Required percentage \\ = (\frac{1520}{1760} \times 100) % \\ = \frac{950}{11} % \\ = 86.36 % \\ \approx 86 % \end{aligned}

49. Study the pie-chart given below carefully and answer the questions that follow.
Percentage-wise break up of students in terms of specialization in M.B.A.
Total Number of students = 8000.

Students having IR as specialisation forms approximately what percent of students having HR as specialisation?

A. 87%

B. 106%

C. 76%

D. 62%

Discuss

Solution:

Number of students in various specialisations:

\begin{aligned} IB → \frac{19}{100} \times 8000 = 1520 \\ IR → \frac{16}{100} \times 8000 = 1280 \\ Finance → \frac{12}{100} \times 8000 = 960 \\ Marketing → \frac{22}{100} \times 8000 = 1760 \\ IT → \frac{17}{100} \times 8000 = 1360 \\ HR → \frac{14}{100} \times 8000 = 1120 \end{aligned}

\begin{aligned} Required percentage \\ = (\frac{1280}{1120} \times 100) % \\ = \frac{800}{7} % \\ = 114.28 % \\ \approx 114 % \end{aligned}

50. Study the pie-chart given below carefully and answer the questions that follow.
Percentage-wise break up of students in terms of specialization in M.B.A.
Total Number of students = 8000.

What is the total number of students having IB as specialisation?

A. 1520

B. 1280

C. 1360

D. 1120

Discuss

Solution:

Number of students in various specialisations:

\begin{aligned} IB → \frac{19}{100} \times 8000 = 1520 \\ IR → \frac{16}{100} \times 8000 = 1280 \\ Finance → \frac{12}{100} \times 8000 = 960 \\ Marketing → \frac{22}{100} \times 8000 = 1760 \\ IT → \frac{17}{100} \times 8000 = 1360 \\ HR → \frac{14}{100} \times 8000 = 1120 \end{aligned}

Number of those having IB as specialisation = 1520

Total number if mobile phones sold = 45000
Month	Ratio (A : B)
July	8 : 7
August	4 : 5
September	3 : 2
October	7 : 5
November	7 : 8
December	7 : 9