Percentage problems
- 1. In an examination, 40% students failed in Hindi, 50% student failed in English. If 21% student failed in both the subject find the percentage of those who passed in Hindi?
Options- A. 31%
- B. 40%
- C. 55%
- D. 60% Discuss
Correct Answer: 60%
Explanation:
Clearly, it is given that 40% failed in Hindi, so those who passed in Hindi = (100 - 40)% = 60%
- 2. A student attempted 24 question and secured full marks in all of them. If he obtained 40% in the test and each question carried equal marks, then what was the total number of questions in the test?
Options- A. 30
- B. 40
- C. 60
- D. 70 Discuss
Correct Answer: 60
Explanation:
40% = 24 questions.
? Total question = (100/40) x 24 = 60
- 3. In a town 25% families own a phone and 15% own a car, 65% families own neithers a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.
(i) 10% families own both a car and a phone.
(ii) 35% families own either a car or a phone.
(iii) 40000 families live in the town.
Which of the above statement are correct?
Options- A. I and II
- B. I and III
- C. II and III
- D. I, II and III Discuss
Correct Answer: II and III
Explanation:
Suppose N% familes own both a car and a phone, then
percentage of the families owing only a phone = 25 - N
Percentage of the families owing only a car = 15 - N
? (25 - N) +(15 - N) + N + 65 = 100
? N = 5
Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
So, Statement ll is correct.
Now, suppose the total number of families in the town be A.
? (5 x A)/100 = 2000 ? A = 40000
So, Statement lll is also correct.
- 4. In a company, 60% of the employees are men. Of these 40% are drawing more than ? 50000 per year. If 36% of the total employees of the company draw more than? 50000 per year, then what is the percentage of women who are drawing less than ? 50000 per year?
Options- A. 70%
- B. 60%
- C. 40%
- D. 30% Discuss
Correct Answer: 70%
Explanation:
Let total number of employee be 100.
? Number of men = 60% of 100 = 60
and number of women = 40% of 100 = 40
Number of men drawing more than ? 50000 = 40% of 60 = 24 men
Since, number of total employees drawing more than ? 50000 = 36% of 100 = 36
Number of women who more than ? 50000 = 36 - 24 = 12
Number of women who draw less than ? 50000 = 40 - 12 = 28
Percentage of women who draw less then ? 50000 per year = (28 x 100)/40 = 70%
- 5. 720 sweets were distributed equally among children in such a way that number of sweets received by each child is 20% of the total number of children. How many sweets did each receive?
Options- A. 12
- B. 14
- C. 11
- D. 15 Discuss
Correct Answer: 12
Explanation:
Let the total number of children be N.
Then, N x (20/100) x N = 720
? N2/5 = 720
? N2 = 5 x 720 = 5 x 5 x 144
? N = ?5 x 5 x 144 = 60
Number of sweets received by each child = (20/100) x 60 = 12
- 6. A pot is filled with alcohal. 80% of alcohal is replaced by the same quantity of water. This process is done three times. Find the percentage of alcohal in this mixture of alcohal and water.
Options- A. 51.2%
- B. 29%
- C. 38%
- D. 49% Discuss
Correct Answer: 51.2%
Explanation:
Let quantity of alcohal = 1000 L
Quantity of alcohal after 1st process = 80% of 1000 L = 800 L
Quantity of alcohol after 2nd process = 80% of 800 L = 640 L
Quantity of alcohol after 3rd process = 80% of 640 L = 512 L
? Required percentage = (512/1000) x 100 = 51.2%
- 7. If the price of petrol is increased by 20% by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remain unchanged?
Options- A. 162/3%
- B. 62/3%
- C. 8%
- D. 15% Discuss
Correct Answer: 162/3%
Explanation:
Here, a = 20%
Required percentage loss = [a / (100 + a)] x 100%
= [20/(100 + 20)] x 100%
= (20/120) x 100%
= 162/3%
- 8. There are 1240 employee in an organization. Out of which, 25% are promoted. How many such employees are there who got promotion?
Options- A. 398
- B. 345
- C. 310
- D. 372 Discuss
Correct Answer: 310
Explanation:
Require number = 1240 x (25/100)
= 310
- 9. The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number
Options- A. 1054
- B. 1178
- C. 1037
- D. 1159 Discuss
Correct Answer: 1054
Explanation:
Let the number be N.
According to the question,
(78 - 59)% of N = 323
? (19 x N)/100 = 323
? N = (323 x 100)/19 = 1700
? 62% of 1700 = (62/100) x 1700 = 1054
- 10. A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much percentage is the longer piece longer than the shorter piece?
Options- A. 140%
- B. 400/3%
- C. 40%
- D. None of these Discuss
Correct Answer: 400/3%
Explanation:
Increase in percentage of longer pipe compared to shorter pipe
= [(70 - 30)/30] x 100%
= (40/30) x 100%
= 400/3 %
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