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Solutions for DEX2031401 Solutions for questions 1 to 5: 1. The increase in the number of students who pursued

courses from 2012 13 to 2013 14 = (200 + 250 + 175) (180 + 235 + 170) = 625 585 = 40

Percentage increase = %10058540 = 6.8%

Choice (2) 2. The ratio of the number of students who pursued B. A and

B.Com in 2011-12 to the number of students who pursued B.Com and B.Sc in 2013 14 = (175 + 220) : (250 + 175) = 395 : 425 = 79 : 85. Choice (4)

3. The required percentage = %100560230 41%.

Choice (1) 4. The increase in the number of students who pursued

courses B.A and B.Sc in 2010-11 and 2013-14 = (200 + 175) (170 + 160)

= 375 330 = 45. Choice (1) 5. In 2010-11 and 2011-12, the number of students who

pursued the courses is 560. So the number of students who pursued the courses at the college are equal.

Choice (3) Solutions for questions 6 to 10:

6. The number of students studying in the colleges P, S and U

together = 1250100

201416

++= 625. Choice (3)

7. The difference between the number of students studying in

the colleges P, Q and R together and those in the colleges U and V together

= 1250100

18201250

100

18816

+

++

= 525 350 = 175. Choice (2) 8. The number of female students in the colleges P, Q and R

together

= 250,1100

18

100

36

100

8

100

44

100

16

100

48

++

= (96 + 44 + 81) = 221. Choice (4) 9. The number of male students studying in the colleges

S and T together = 1250100

1614

+384

24

95

+

= 375 224 = 151. Choice (1) 10. Total number of female students in colleges T, U and V

together =

++ 883

2052

16167

12.5

= (7 + 8 + 3) 12.5 = 18 12.5

Required percentage = ( ) 5.12820165.1218++

100%

4418

100% 41%. Choice (1)

Solutions for questions 11 to 15: 11. The number of defective units produced by the companies

E and F together = 3075 (0.04) + 2325(0.04) = 123 + 93 = 216. Choice (3) 12. The number of defective units of washing machines

produced by the companies A and B together in 2012-13 = 4,800(0.05) + 2,750(0.06) = 240 + 165 = 405.

The number of defective units of washing machines produced by the companies A and B together in 2013-14

= 4,875 (0.04) + 2,825(0.08) = 195 + 226 = 421

The increase in the number of defective units produced = 421 405 = 16. Choice (2) 13. The number of non-defective units of washing machines

produced by the companies A and C in 2012-13 = 4,800(1 0.05) + 2040 (1 0.05) = 4,560 + 1,938 = 6,498

The number of non-defective units of washing machines produced by the companies D and E in 2009-10

= 3,720(1 0.02) + 2,880 (1 0.05) = 3,534 + 2,736 = 6,270 The required ratio = 6498 : 6270 = 57 : 55

Choice (4) 14. The total number of defective units of washing machines

produced by the companies C and D together in 2008-09 = 1,850 (0.04) + 3,640(0.05) = 74 + 182 = 256

The total number of defective units of washing machines produced by the companies C and D together in 2013-14

= 2,080(0.05) 3,900(0.03) = 104 + 117 = 221

The percentage decrease in the number of defective

units produced = ( )

%100256

221256

= 13.672% 13.67%. Choice (2) 15. Clearly from the table it could be in 2011-12 or 2012-13 or

2013-14 The number of defective units in 2011-12 = 2250(0.08) = 180 The number of defective units in 2012-13 = 2300(0.05) = 115 The number of defective units in 2013-14 = 2325(0.04) = 93

Clearly it was the highest in 2011-12. Choice (3) Solutions for questions 16 to 20: 16. The difference between the profit of the company X and

that of the company Y = `60cr(0.15) `45 cr (0.12) = `9cr `5.4 cr = `3.6 crore. Choice (2) 17. Sales of the company X in 2011-12

= 15.0

15.1crores6 `= `46 crores.

The difference between the sales of the company X and those of the company Y = `66cr `46 cr = `20 crore. Choice (1)

m

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18. Let the cost of production of the company X and that of the company Y be 4c and 3c respectively.

Sales of the company X in 2009-10 = (1.12) (4c) = 4.48c Sales of the company Y in 2009-10 = (1.08) (3c) = 3.24c

The ratio of the sales of the company X to that of the company Y = 4.48c : 3.24c = 112 : 81. Choice (3)

19. The total profit of the companies X and Y together in

2013-14 =

+

12.112.0

cr4.5015.115.0

cr4.64 ``

= `8.4cr + `5.4cr = `13.8cr The total profit of the companies X and Y together in

2012-13 =

+

13.1

13.0cr85.50

11.1

11.0cr5.55 ``

= `5.5cr + `5.85cr = `11.35cr The increase in the profits of both the companies together from 2012-13 to 2013-14

= `13.8cr `11.35cr = `2.45 cr. Choice (2) 20. Profit of the company X in 2010-11

= cr36100

14` = `5.04cr

Profit of the company Y in 2010-11

= cr30100

11` = `3.3cr

The required percentage

%100cr3.3

cr04.5

`

` 152.73%. Choice (4)

Solutions for questions 21 to 25: 21. The number of cars of models M , M and M V

sold by the company in 2010-11

=

++10060

000,1410055

000,1410054

000,15

= 8,100 + 7,700 + 8,400 = 24,200. Choice (1) 22. The number of cars of the models M , M and M

remained unsold by the company = 14,000 (1 0.7) + 16,000 (1 0.58) + 12,000 (1 0.52) = 4,200 + 6,720 + 5,760 = 16,680. Choice (3)

23. In 2008-09 the number cars of models M , M and

M IV sold by company = 12,000 (0.6) + 9,000 (0.48) + 8,000 (0.54) = 7,200 + 4,320 + 4,320 = 15,840 Percentage of sales of M , M and M IV

= 000,29840,15

100% 54.62%. Choice (4)

24. Observing the two tables, we can say that the number of

cars of model M I sold were the highest in 2012-13. Choice (1)

25. The following table shows the total number of car models M and M VI sold by the company in the given years.

Years Number of cars sold

2008-09 11,540 2009-10 13,600 2010-11 15,880 2011-12 18,080 2012-13 19,920 2013-14 17,860

Clearly, in 2012-13 it was the highest. Choice (2)

ADDITIONAL QUESTIONS FOR PRACTICE

Solutions for questions 26 to 30: 26. Sales of the companies S and R together

= cr320,4360

4864`

+ = `1,344 crore.

Choice (1) 27. The difference between the sales of the company P and

those of the company T

= cr320,4360

2884`

= `672 crore. Choice (3)

28. The sales of the company Q

= cr320,436072

` = `864 cr

The profit of the company Q

= cr86427

2027` = `224 cr. Choice (2)

29. Profit of the company R

cr320,436048

12020

` = `96 crores

Profit of the company T

= cr320,436028

11212

` = `36 crores

The difference between the profit of the company R and the company T = `96cr `36cr = `60cr Choice (4)

30. The ratio of the cost of production of company P to that of

the company Q

= cr320,436084

112100

`

cr320,436072

120100

: ` = 5 : 4 Choice (1)