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Line Graphs:

Study the following information and answer the related question

The following line graph represents the sales of a company in five different months in Rs. (thousand).

Q.1. Find the difference in sales between the month of January and April in thousands? 

(i) 500                   

(ii) 400                 

(iii) 300                     

(iv) 600                   

(v) None of these

Q.2. Find the increase in sales from February to May

(i) 40 %                 

(ii) 50 %                 

(iii) $33\frac{1}{3}\%$                    

(iv) 70 %               

(v) None of these

Q.3. Find the average sales of January, February, and March in thousand?

(i) 3700                 

(ii) 3800                 

(iii) 3900                   

(iv) 4000               

(v) None of these

Q.4. What is the sales difference between the total sum of January and May and the sum of February and March months in thousands?

(i) 500                   

(ii) 600                 

(iii) 400                     

(iv) 700                   

(v) None of these

Q.5. Find the ratio between the difference of the sales of May and March month to the difference between the sales of April and January month.

(i) 4 : 3                   

(ii) 6 ; 5               

(iii) 5 : 2                     

(iv) 4 : 5                   

(v) None of these

Solution:

(1)

Sales of January is 3300 (in thousands) Rs.

Sales of April is 3700 (in thousands) Rs.

Difference 3700 – 3300 = 400

Option (ii) is right.

(2)

Sales of February is 3900 (in thousands) Rs.

Sales of May is 5200 (in thousands) Rs.

Option (iii) is right.

(3)

Total sales of January, February, and March is (3300 + 3900 + 4200) Rs. (in thousands)

= 11400 Rs. (in thousands)

Option (ii) is right.

(4)

The total sum of January and May month is (3300 + 5200) Rs (in thousands)

= 8500 Rs. (in thousands)

The total sum of February and March Month is (3900 + 4200) Rs (in thousands)

= 8100 Rs. (in thousands)

Difference is (8500 - 8100) = 400 Rs. (in thousands)

Option (iii) is correct.

(5)

The difference between the sales of March and May month is (5200 - 4200) Rs. (in thousands)

= 1000 Rs. (in thousands)

The difference between the sales of April and January month is (3700 - 3300) Rs. (in thousands)

= 400 Rs. (in thousands)

Option (iii) is correct.

Example 2:

Q.1. If the maximum marks in each subject were 100. Then what was the percentage score of Spana in 3 subjects together?

(a) 72 %

(b) 70 %

(c) 74 %

(d) 68%

(e) None of these

Q.2. What were the average marks scored by all 5 persons in mathematics together?

(a) 84

(b) 80

(c) 88

(d) 76

(e) None of these

Q.3. What is the ratio of total marks scored by Ajay, Sunil, and Damini in mathematics together to the total marks scored by Sunil, Sapna, and Sunny in science together?

(a) 25 : 23

(b) 25 : 24

(c) 23 : 24

(d) 23 : 25

(e) None of these

Q.4. Total marks scored by Ajay in Mathematics and English together is what percent of the total marks scored by Sunny in Mathematics and English together?

(a) 66.66 %

(b) 80 %

(c) 77.77 %

(d) 75.25 %

(e) None of these

Q.5. What is the difference between total marks scored by all 5 persons together in mathematics and total marks scored by all 5 persons together in science?

(a) 10

(b) 5

(c) 15

(d) 30

(e) None of these

Solution:

(1)

Total score of Sapna in 3 subjects together is (90 + 60 + 54) = 204

Option (d) is correct.

(2)

Total Score by all the five persons together in mathematics is (74 + 80 + 96 + 54 + 96) = 400

Option (b) is correct.

(3)

Total marks scored by Ajay, Sunil and Damini in mathematics is (74 + 80 + 96) = 250

Total marks scored by Sunil, Sapna and Sunny together in science (72 + 90 + 78) = 240

So, ratio is 250 : 240 = 25 : 24

Option (b) is correct.

(4)

Marks scored by Ajay in Mathematics and English together is (66 + 74) = 140

Marks scored by Sunny in Mathematics and English together is (84 + 96) = 180

Option (c) is correct.

(5)

Total marks scored by all 5 persons together in mathematics is (74 + 80 +96 + 54 + 96) = 400

Total marks scored by all 5 persons together in science is (84 + 72 + 78 + 90 + 66) = 390

So, difference is (400 - 390) = 10

Option (a) is correct.