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- Question
- Two numbers X and Y are respectively 20% and 28% less then a third number Z. By what percentage is the number Y less than that of the number X?
Options- A. 8%
- B. 9%
- C. 10%
- D. 12%
- Correct Answer
- 10%
ExplanationHere, Z = 100, X = 80 and Y = 72
Now according to the formula,
Percentage change = (New amount - Original amount)/Original amount
= [(80 - 72)/80] x 100%
= (8/80) x 100%
= 10%
? Y is less by X = 10% - 1. In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2 % took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics?
Options- A. 750
- B. 500
- C. 250
- D. 125 Discuss
- 2. In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55% owned both a car and a mobile phone, what percent of those surveyed owned a car or a mobile phone or both?
Options- A. 65%
- B. 80%
- C. 85%
- D. 97.5% Discuss
- 3. The population of a town was 150000 three years ago. If it is increased by 2%, 2.5% and 4%, respectively in last 3 years, then the present population is?
Options- A. 163098
- B. 164049
- C. 163154
- D. 164145 Discuss
- 4. In an examination, 950 boys and 250 girls appeared. 90 % of the boys and 60 % of the girl passed the examination. The percentage of candidates failed is?
Options- A. 16.25%
- B. 16.75%
- C. 16.50%
- D. None of these Discuss
- 5. Anirudh secures 85%, 70%, 65% and 60% marks in test papers with 100, 120, 140 and 160, respectively as maximum marks. The percentage of his aggregate is?
Options- A. 652/3%
- B. 686/13%
- C. 661/4%
- D. 651/3% Discuss
- 6. The population of a city increases at the rate of 5% per annum. There is additional annual increases of 5% due to influx of job seekers. The percent increase in population after 3 yr, is?
Options- A. 33.1%
- B. 33%
- C. 34%
- D. 33.24% Discuss
- 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 remains unchanged?
Options- A. 162/3
- B. 62/3
- C. 8%
- D. 15% Discuss
- 8. In a company , there are 724 employees. 25% employees left the
job. Find the number of rest of employees.
Options- A. 543
- B. 550
- C. 578
- D. 565 Discuss
- 9. An agent sells goods of value of ? 15000. The commission which he receives at the ration of 12 1/ 2%, is
Options- A. ?1875
- B. ?2125
- C. ?2000
- D. ?2700 Discuss
- 10. The price of certain article is ? 15000. But due to slump in the market, its price decreased by 8%. Find the new price of the article.
Options- A. ? 14000
- B. ? 13800
- C. ? 16500
- D. ? 12600 Discuss
Percentage problems
Search Results
Correct Answer: 500
Explanation:
Let x% candidates take both the subjects.
Percentage of candidates who opted Physics = 65.8%
and percentage of candidates who opted Mathematics = 59.2%
? x = (65.8 + 59.2 - 100)% = (125 - 100)% = 25%
Also, total number of candidates = 2000
? Number of candidates who opted both the subjects
= 25 x 2000/100 = 500
Correct Answer: 85%
Explanation:
Percentage of car owners = 80%
Percentage of mobile phone owners = 60%
Percentage of people having both car and mobile phone = 55%
Percentage of people having only car = 80 - 55 = 25%
Percentage of people having only mobile phone = 60 - 55 = 5%
Percentage of people having a car or a mobile phone or both = 55% + 25% + 5% = 85%
Correct Answer: 163098
Explanation:
Percentage population = 150000 x (1 + 2/100) x {1 + (5/2)/100} x (1 + 4/100)
= 150000 x (102/100) x (41/40) x (104/100)
= 163098
Correct Answer: 16.25%
Explanation:
Number of failures = 10% of 950 + 40% of 250
= (10/100) x 950 + (40/100) x 250 = (95 + 100) = 195
Fail percentage = [195/(950 + 250)] x 100
= (195/1200) x 100 = 16.25%
Correct Answer: 686/13%
Explanation:
Marks secured by Anirudh = [(85/100) x 100] + [(70/100) x 120] + [(65/100) x 140] + [(60/100) x 160]
= (85 + 84 + 91 + 96) = 356
? Required percentage = [356/(100 + 120 + 140 + 160)] x 100 %
= (356/520) x 100% = 686/13%
Correct Answer: 33.1%
Explanation:
Total rate of increase in population per annum = 10%
Initially, let the population be 1000
population after 3 yr = 1000(1 + 10/100)3
= (1000 x 11/10 x 11/10 x 11/10) = 1331
? Increase in percentage = [(1331 - 1000)/1000] x 100%
= (331/1000) x 100%
= 33.1%
Correct Answer: 162/3
Explanation:
Required decrease in consumption = [a/(100 + a)] x 100%
= [20/(100 + 20)] x 100%
= (20/120) x 100%
= 162/3%
Correct Answer: 543
Explanation:
Number of employees leaving job
= 25% of 724 = (1/4) x 724 = 181
? Number of rest of the employees
= 724 - 181 = 543
Correct Answer: ?1875
Explanation:
Agent receives commission of the rate = 121/2%
Total value of goods sold = ? 15000
? Agent's commission = 121/2% of 15000
= [(25/2) x 15000] /100
= ? 1875
Correct Answer: ? 13800
Explanation:
Given that, P = ? 15000, and Q = 8
According to the formula,
Required new price = [(100 - Q)/100] x P
= [(100 - 8)/100] x 15000
= (92/100) x 15000
= ? 13800
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