Read the following information carefully and answer the following questions based on it.

The following pie chart represents the percentage distribution of books sold by five E- Commerce companies A, B, C, D and E out of total books of Quantitative Aptitude for CAT. There are two books of Quantitative Aptitude Quantum CAT and Quant Theory. Total Books Sold = 5000

The table given below shows the ratio of number of books sold by each company and percentage by which Quant Theory price is more than Quantum Cat.

1) Find the price of each Quant theory Book, if the total revenue generated by sale of all books by company E is Rs. 26.8 lakhs?

A.Rs. 3200

B.Rs. 4800

C.Rs. 4000

D.Rs. 5600

E.None of these

2) The average of number of Quantum cat sold by Company A and E together is approximately how much % more or less than average number of Quant theory sold by B and D together?

A.18.2%less

B.20.2%more

C.16.2% less

D.18.2% more

E.19.2%more

3) If there is another company F, the number of Quant theory books sold by company F is 50% more than Quantum cat by company C and number of Quantum Cat books sold by company F is 42% more than total number of books sold by company D, find the total number of books sold by company F?

A.2475

B.2375

C.2575

D.2365

E.None of these

4) Total revenue generated by company D is 20% more than company E. Find the price of each Quantum Cat book sold by company E if total revenue generated by company D is 20.1 lakhs?

A.Rs 3500

B.Rs 3000

C.Rs 2500

D.Rs 2000

E.None of these

5) Average number of Quantum Cat books sold by all five companies together is how much more or less than average number of Quant theory books sold by all five companies together?

A.280

B.120

C.150

D.160

E.None of these

Answers :

Explanation

Total books sold by company A = 18% of 5000 = 900

Number of Quantum Cat books = 5/9 x 900 = 500

Number of Quant theory books = 4/9 x 900 = 400

Similarly we can find all required data

1) Answer: C

Let the price of each Quantum Cat book for company E= 4a

Price of each Quant theory book for company E = 4a + 1/4 x 4a = 5a

According to question

400 x 4a + 350 x 5a = 2680000

3350a = 2680000

a = 800

Price of each Quant theory book = 5 x 800 = Rs. 4000

2) Answer: A

Required Average of company A and E = (500 + 400)/2 = 450

Required Average of Company B and D together = (600 + 500)/2 = 550

Required % change = (550 – 450)/550 x 100 = 18.18%~ 18.2% less

3) Answer: B

Number of Quant theory books sold by company F = 150% x 400 = 600

Number of Quantum cat books sold by company F = 142% of 1250 = 1775

Total number of books sold by company F = 1775 + 600 = 2375

4) Answer: D

Total revenue generated by company E = 20.1/120 x 100 = 16.75 lakhs

Let the price of each Quantum Cat book for company E = 4a

Price of each Quant theory book = 125% of 4a = 5a

According to question

4a x 400 + 5a x 350 = 1675000

3350a = 1675000

a = 500

Price of each Quantum Cat book = 4 x 500 = Rs. 2000

5) Answer: E

Average of Quantum cat books = 2950/5 = 590

Average of Quant theory books = 2050/5 = 410

Required difference = 180