PERCENTAGE (CDS)

Total Questions: 31

1. In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter? [2019 (I) Morning Shift ]

Correct Answer: (c) 44%
Solution:In a hostel the rent per room is increased by 20%.

2. (Questions 2-4) Read the given information carefully and answer the given questions below. [2019 (I) Morning Shift ]

In a certain town of population size 100000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows.

What is the number of people who read only one newspaper?

Correct Answer: (a) 20000
Solution:Percentage of people who read only one newspaper.

3. What is the number of people who read atleast two newspapers? [2019 (I) Morning Shift ]

Correct Answer: (a) 12000
Solution:Percentage of people who read atleast two newspapers.

4. What is the number of people who do not read any of these three newspapers? [2019 (I) Morning Shift ]

Correct Answer: (d) 68000
Solution:The percentage of people who read newspaper

5. x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p? [2019 (I) Morning Shift ]

Correct Answer: (d) 75
Solution:x, y and z are three numbers

6. In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what per cent passed in both the subjects? [2019 (I) Morning Shift ]

Correct Answer: (d) 23
Solution:


7. In an examination, 50% of the candidates failed in English, 40% failed in Hindi and 15% failed in both the subjects. The percentage of candidates who passed in both English and Hindi is [2018 (II) Evening Shift ]

Correct Answer: (b) 25%
Solution:Given,

8. Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total number of 12 children play badminton and table tennis both. The number of girls playing only badminton is [2018 (II) Evening Shift ]

Correct Answer: (a) 14
Solution:Total children = 85



9. If the price of wheat rises by 25%, then by how much percent must a man reduce his consumption in order to keep his budget the same as before? [2018 (I) Morning Shift]

Correct Answer: (b) 20%
Solution:Let the price of 1kg of wheat be ₹100 and the family consumes 1 kg per month Increased price of wheat per kg

10. The annual income of a person decreases by ` 64 if the annual rate of interest decreases from 4% to 3.75%. What is his original annual income? [2018 (I) Morning Shift]

Correct Answer: (c) ₹25600
Solution:Decrement in rate of interest = (4 − 3.75)% = 0.25%