PERCENTAGE (CDS)

Total Questions: 31

11. A fruit seller has a certain number of mangoes of which 5% are rotten. He sells 75% of the remainder and he is left with 95 mangoes. How many mangoes did he have originally? [2017 (II) Evening Shift]

Correct Answer: (c) 400
Solution:Let the fruit seller has x mangoes

12. A student has to secure 40% of marks to pass an examination. He gets only 45 marks and fails by 5 marks. The maximum marks are [2017 (II) Evening Shift]

Correct Answer: (b) 125
Solution:Let the maximum marks be x.

13. In an examination, 35% students failed in Hindi, 45% students failed in English and 20% students failed in both the subjects. What is the percentage of students passing in both the subjects? [2017 (II) Evening Shift]

Correct Answer: (d) 40
Solution:Diagram for failed

14. When prices rise by 12%, if the expenditure is to be same, what is the percentage of consumption to be reduced? [2017 (II) Evening Shift]

Correct Answer: (d) 10⁵⁄₇ %
Solution:We have price rise by 12%

15. (Questions 15-19) In a University there are 1200 students studying four different subjects, Mathematics, Statistics, Physics and Chemistry. 20% of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, 320 students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry are girls, 150 boys are studying Mathematics. 60% of students studying Physics are boys. 250 girls are studying Statistics. [2017 (II) Evening Shift]

What is the total number of boys studying Statistics and Physics?

Correct Answer: (c) 250
Solution:


Total number of boys studying statistics and Physics = 70 + 180 = 250

16. The number of girls studying Statistics is what percent (approximate) of the total number of students studying Chemistry? [2017 (II) Evening Shift]

Correct Answer: (b) 73.5
Solution:


Required percentage = (250/340) × 100 = 73.5%

17. In which subjects is the different between the number of boys and girls equal? [2017 (II) Evening Shift]

Correct Answer: (c) Mathematics and Physics
Solution:

Difference between the number of boys and girls in Mathematics
= 150-90 = 60.
Difference between the number of and girls in physics
= 180-120 = 60
Difference in Mathematics and Physics is equal.

18. What is the difference between the number of boys studying Mathematics and the number of girls studying Physics? [2017 (II) Evening Shift]

Correct Answer: (b) 30
Solution:

Required difference = 150-120 = 30

19. What is the ratio of the total number of boys of the total number of girls? [2017 (II) Evening Shift]

Correct Answer: (a) 67 : 83
Solution:


Total number of boys = 150 +70 +180 +136 = 536
and total number of girls = 1200 - 536 = 664
∴ Required ratio = 536/664 = 67/83

20. If a % of a + b % of b = 2% of ab, then what per cent of a is b ? [2017 (I) Morning Shift ]

Correct Answer: (c) 100%
Solution:We have,