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41. Study the following bar graph and the table carefully and answer the questions given below:
Time Taken (in hours) by 6 Vehicles on Two Different Days

Distance Covered (in km) by 6 Vehicles on Each Day

Vehicles Day 1 Day 2

A 832 864

B 516 774

C 693 810

D 552 765

E 935 546

F 703 636

What was the speed of vehicles C on Day 2 in terms of metres per second ?

A. 15.3 m/s

B. 12.8 m/s

C. 11.5 m/s

D. 13.8 m/s

Discuss

Solution:

\begin{aligned} Speeds of vehicles on Day 1: \\ A → \frac{832}{16} km/hr = 52 km/hr \\ B → \frac{516}{12} km/hr = 43 km/hr \\ C → \frac{693}{11} km/hr = 63 km/hr \\ D → \frac{552}{12} km/hr = 46 km/hr \\ E → \frac{935}{17} km/hr = 55 km/hr \\ F → \frac{703}{19} km/hr = 37 km/hr \\ Speed of vehicles on Day 2: \\ A → \frac{864}{16} km/hr = 54 km/hr \\ B → \frac{774}{18} km/hr = 43 km/hr \\ C → \frac{810}{18} km/hr = 45 km/hr \\ D → \frac{765}{15} km/hr = 51 km/hr \\ E → \frac{546}{14} km/hr = 39 km/hr \\ F → \frac{636}{12} km/hr = 53 km/hr \end{aligned}

\begin{aligned} Speed of C on Day 2 \\ = 45 km/hr \\ = (45 \times \frac{5}{18}) m/sec \\ = \frac{25}{2} m/s \\ = 12.5 m/s \end{aligned}

42. Study the following bar graph and the table carefully and answer the questions given below:
Time Taken (in hours) by 6 Vehicles on Two Different Days

Distance Covered (in km) by 6 Vehicles on Each Day

Vehicles Day 1 Day 2

A 832 864

B 516 774

C 693 810

D 552 765

E 935 546

F 703 636

What is the ratio of the speeds of vehicle D and vehicle E on Day 2?

A. 15 : 13

B. 17 : 13

C. 13 : 11

D. 17 : 14

Discuss

Solution:

\begin{aligned} Speeds of vehicles on Day 1: \\ A → \frac{832}{16} km/hr = 52 km/hr \\ B → \frac{516}{12} km/hr = 43 km/hr \\ C → \frac{693}{11} km/hr = 63 km/hr \\ D → \frac{552}{12} km/hr = 46 km/hr \\ E → \frac{935}{17} km/hr = 55 km/hr \\ F → \frac{703}{19} km/hr = 37 km/hr \\ Speed of vehicles on Day 2: \\ A → \frac{864}{16} km/hr = 54 km/hr \\ B → \frac{774}{18} km/hr = 43 km/hr \\ C → \frac{810}{18} km/hr = 45 km/hr \\ D → \frac{765}{15} km/hr = 51 km/hr \\ E → \frac{546}{14} km/hr = 39 km/hr \\ F → \frac{636}{12} km/hr = 53 km/hr \end{aligned}

\begin{aligned} Required ratio \\ = \frac{Speed of D on Day 2}{Speed of E on Day 2} \\ = \frac{51}{39} \\ = \frac{17}{13} \\ = 17 : 13 \end{aligned}

43. Study the following bar graph and the table carefully and answer the questions given below:
Time Taken (in hours) by 6 Vehicles on Two Different Days

Distance Covered (in km) by 6 Vehicles on Each Day

Vehicles Day 1 Day 2

A 832 864

B 516 774

C 693 810

D 552 765

E 935 546

F 703 636

What was the difference between the speed of vehicles A on Day 1 and the speed of vehicles C on the same day ?

A. 7 km/hr

B. 2 km/hr

C. 11 km/hr

D. 8 km/hr

Discuss

Solution:

\begin{aligned} Speeds of vehicles on Day 1: \\ A → \frac{832}{16} km/hr = 52 km/hr \\ B → \frac{516}{12} km/hr = 43 km/hr \\ C → \frac{693}{11} km/hr = 63 km/hr \\ D → \frac{552}{12} km/hr = 46 km/hr \\ E → \frac{935}{17} km/hr = 55 km/hr \\ F → \frac{703}{19} km/hr = 37 km/hr \\ Speed of vehicles on Day 2: \\ A → \frac{864}{16} km/hr = 54 km/hr \\ B → \frac{774}{18} km/hr = 43 km/hr \\ C → \frac{810}{18} km/hr = 45 km/hr \\ D → \frac{765}{15} km/hr = 51 km/hr \\ E → \frac{546}{14} km/hr = 39 km/hr \\ F → \frac{636}{12} km/hr = 53 km/hr \end{aligned}

Difference between the speed of A on Day 1 and speed of C on Day 1
= (63 - 52) km/hr
= 11 km/hr

44. Study the following bar graph and the table carefully and answer the questions given below:
Time Taken (in hours) by 6 Vehicles on Two Different Days

Distance Covered (in km) by 6 Vehicles on Each Day

Vehicles Day 1 Day 2

A 832 864

B 516 774

C 693 810

D 552 765

E 935 546

F 703 636

The distance travelled by vehicle F on Day 2 was approximately what percent of the distance travelled by it on Day 1?

A. 80%

B. 65%

C. 85%

D. 95%

Discuss

Solution:

\begin{aligned} Speeds of vehicles on Day 1: \\ A → \frac{832}{16} km/hr = 52 km/hr \\ B → \frac{516}{12} km/hr = 43 km/hr \\ C → \frac{693}{11} km/hr = 63 km/hr \\ D → \frac{552}{12} km/hr = 46 km/hr \\ E → \frac{935}{17} km/hr = 55 km/hr \\ F → \frac{703}{19} km/hr = 37 km/hr \\ Speed of vehicles on Day 2: \\ A → \frac{864}{16} km/hr = 54 km/hr \\ B → \frac{774}{18} km/hr = 43 km/hr \\ C → \frac{810}{18} km/hr = 45 km/hr \\ D → \frac{765}{15} km/hr = 51 km/hr \\ E → \frac{546}{14} km/hr = 39 km/hr \\ F → \frac{636}{12} km/hr = 53 km/hr \end{aligned}

\begin{aligned} Required % \\ = (\frac{636}{703} \times 100) % \\ = \frac{63600}{703} % \\ = 90.46 % \\ \approx 90 % \end{aligned}

45. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

The company earning the maximum percentage of profit in the year 2001 is:

A. Q

B. M

C. N

D. P

Discuss

Solution:

\begin{aligned} From bar diagram \\ Profit percent of company Q \\ = \frac{40 - 30}{30} \times 100 \\ = \frac{100}{3} \\ = 33 \frac{1}{3} % \end{aligned}

46. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

In 2001, the approximate percentage of profit/loss of all the five companies taken together is equal to-

A. 6.88% loss

B. 4.65% profit

C. 4.88% profit

D. 4% loss

Discuss

Solution:

Total income of all the five companies
= Rs. (35 + 50 + 40 + 40 + 50) crores
= Rs. 215 crores
Total expenditure of all the five companies
= Rs. (45 + 40 + 45 + 30 + 45) crores
= Rs. 205 crores

\begin{aligned} ∴ Profit percent \\ = \frac{Income - Expenditure}{Expenditure} \times 100 \\ = \frac{215 - 205}{205} \times 100 \\ = \frac{1000}{205} \\ = 4.88 % \end{aligned}

47. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

For company R if the expenditure had increased by 20% in the year 2001 from the year 2000 and the company had earned profit of 10% in 2000, the company’s income in 2000 was (in Rs. crore).

A. 41.25 crores

B. 35.75 crores

C. 37.25 crores

D. 38.5 crores

Discuss

Solution:

Expenditure of company R in 2000

\begin{aligned} = \frac{45 \times 100}{120} \\ = Rs. 37.5 crores \end{aligned}

Let the income of company in 2000 be Rs.

x

crores

\begin{aligned} ∴ 10 = \frac{x - 37.5}{37.5} \times 100 \\ \Rightarrow x - 37.5 = \frac{37.5 \times 10}{100} \\ \Rightarrow x - 37.5 = 3.75 \\ \Rightarrow x = 37.5 + 3.75 \\ \Rightarrow x = Rs. 41.25 crores \end{aligned}

48. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

If the income of company Q in 2001 was 10% more than that in 2000 and the company had earned a profit of 20% in 2000, then its expenditure in 2000 (in Rs. crore).

A. Rs. 34.34 crores

B. Rs. 28.28 crores

C. Rs. 29.09 crores

D. Rs. 30.30 crores

Discuss

Solution:

\begin{aligned} Income of company Q in 2000 \\ = \frac{100}{110} \times 140 \\ = \frac{400}{11} crores \\ If expenditure in 2000 be Rs. x crores \\ Profit % \\ \Rightarrow \frac{Income - Expenditure}{Expenditure} \times 100 = \frac{\frac{400}{11} - x}{x} \\ \Rightarrow \frac{20}{100} = \frac{400 - 11 x}{11 x} \\ \Rightarrow \frac{1}{5} = \frac{400 - 11 x}{11 x} \\ \Rightarrow 5 \times 400 - 55 x = 11 x \\ \Rightarrow 66 x = 2000 \\ \Rightarrow x = \frac{2000}{66} \\ \Rightarrow x = Rs. 30.30 crores \end{aligned}

49. Study the bar chart given below and answer the following questions:
Income and Expenditure (in Rs. crore) in 2001 of five companies

The companies M and N together had a percentage of profit/ loss of -

A. No loss and no profit

B. 12% loss

C. 10% loss

D. 10%

Discuss

Solution:

Total income of companies M and N
= Rs. (35 + 50) crores
= Rs. 85 crores
Total expenditure
= Rs. (45 + 40) crores
= Rs. 85 crores
Hence, the companies M and N had no loss and no profit.

50. Study the following graph carefully to answer the questions that follow:
Monthly income (Rs. in thousands) of three different persons in six different years

What was the different between the total monthly salary of Arun in all the years together and Suman’s monthly income in the year 2007?

A. Rs. 1.24 lakhs

B. Rs. 1.13 lakhs

C. Rs. 11.4 lakhs

D. Rs. 12.4 lakhs

Discuss

Solution:

Total monthly salary of Arun in all the years
= 14000 + 18000 + 23000 + 21000 + 27000 + 25000
= Rs. 128000
Monthly salary of Suman in the year 2007 = Rs. 15000
Difference between their Salary
= 128000 - 15000
= Rs. 1.13 lakh

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Hashtable

Vehicles	Day 1	Day 2
A	832	864
B	516	774
C	693	810
D	552	765
E	935	546
F	703	636