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- Question
- A box has 100 blue balls, 50 red ballss and 50 black balls. 25% of blue balls and 50% of red balls are taken away. Then, percentage of black balls at present is?
Options- A. 25%
- B. 331/3
- C. 40%
- D. 50
- Correct Answer
- 331/3
ExplanationAfter removing 25% of blue balls,
Total blue balls left = 75% of 100
= (75/100) x 100 = 75
After removing 50% of red balls, total red balls left = 50% 0f 50 = (50 x 50) / 100 = 25
? Required percentage = [50/(75 + 25 + 50)] x 100
= (50/150) x 100
= 331/3 % - 1. A student was asked to measure the length and breadth of a rectangle. By mistake, he measured the length 20% less and the breath 10% more. if its original area is 200 sq cm, then find the area after this measurement?
Options- A. 176 sq cm
- B. 206 sq cm
- C. 226 sq cm
- D. 316 sq cm Discuss
- 2. Mathew scored 42 marks in Biology, 51 marks in Chemistry, 58 marks in Mathematics, 35 marks in Physics and 48 marks English. The maximum marks, a student can score in each subject, are 60. How much overall percentage did Mathew get in this exam?
Options- A. 76%
- B. 82%
- C. 68%
- D. 78% Discuss
- 3. In a test, A scored 10% more than B and B scored 5% more than C. If C scored 300 marks out of 400, then A's marks are
Options- A. 310
- B. 325
- C. 350
- D. 360 Discuss
- 4. The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number
Options- A. 360
- B. 1080
- C. 120
- D. 40 Discuss
- 5. 48% of the 1st number is 60% of the 2nd number. What is the ratio of the 1st number to the 2 nd number?
Options- A. 4 : 7
- B. 3 : 4
- C. 5 : 4
- D. Could't be determined Discuss
- 6. The price of two article are as 3 : 4. If the price of the first article is increased by 10% and that if the second by ? 4 one original ratio remains the same. The original price of the second article is
Options- A. ? 40
- B. ? 10
- C. ? 30
- D. ? 35 Discuss
- 7. from 2008 to 2009, the sales of a book decreased by 80%. If the sales in 2010 was the same as in 2008, by what per cent did it increase from 2009 to 2010?
Options- A. 80%
- B. 100%
- C. 120%
- D. 400% Discuss
- 8. In a particular constituency, 75% of voters cast their votes, out of which 2% were rejected. The winning candidate received 75% of the valid votes and bagged a total of 9261 votes. The total number of voters in the constituency is
Options- A. 14500
- B. 18900
- C. 16800
- D. 24000 Discuss
- 9. Last year, there were 610 boys in a school. The number decreased by 20% this year. How many girl are there in the school, if the number of boys in the school this year?
Options- A. 854
- B. 848
- C. 798
- D. 782 Discuss
- 10. Aryan got 350 marks and Vidya scored 76% marks in the same test. If Vidaya scored 296 marks more than Aryan, then what were the maximum marks of the test?
Options- A. 650
- B. 900
- C. 850
- D. 950 Discuss
Percentage problems
Search Results
Correct Answer: 176 sq cm
Explanation:
Net effect on area = -20 + 10 + [(-20 )(10)/100] %
= (-10 - 2) % = -12%
Now, after this mistake new area = (100 - 12)% of 200
= (88/100) x 200
= 176 sq cm
Correct Answer: 78%
Explanation:
Total marks scored by Mathew in all subjests = 42 + 51 + 58 + 35 + 48 = 234
? Maximum marks is 60 in any subject.
? Maximum marks = 60 x 5 = 300
? Percentage of Mathew's marks
= [(Marks obtained / Maximum marks)] x 100
= (234 / 300) x 100
= 234/3 = 78%
Correct Answer: 360
Explanation:
B's marks = C's marks + 5% of 400
= 300 + 20 = 320
Now , A's marks = B's marks + 10% of 400
= 320 + 40 = 360
Correct Answer: 120
Explanation:
Let the positive number be N.
According to the question
N x (15+ 20)% = 126
? N x 35 = 126 x 100
? N = 12600/35 = 360
So, one-third of the number = 360/3 = 120
Correct Answer: 5 : 4
Explanation:
Let 1st number be M and 2nd number be M.
According to the question,
48% of M = 60% N
? (M x 48)/100 = (N x 60)/100
? M/N = (60/100) x (100/48) = 5/4
? M : N = 5 : 4
Correct Answer: ? 40
Explanation:
Let cost prices of two article be 3N and 4N respectively then
(110% of 3N) / (4N + 4) = 3/4
? 1.1N / (N + 1) = 1
? 1.1N = N + 1
? 0.1 N = 1
? N = 10
Thus, cost price of the second article is 4 x 10 = ? 40
Correct Answer: 400%
Explanation:
Let sale in 2008 = 100
Sale in 2009 = 20
Sale in 2010 = 100
? Required increases = [(100 - 20)/20] x100
= (80/20) x 100 = 400%
Correct Answer: 16800
Explanation:
Let the total number of votes = N
According to the question,
75% of 98% of 75% of N = 9261
[? 2% votes were rejected]
? (N x 75 x 98 x 75) / (100 x 100 x 100) = 9261
? N = (9261 x 100 x 100 x 100) / (75 x 75 x 98) = 16800
Correct Answer: 854
Explanation:
Last year number of boys in school = 610
? Number of boys in school this year = 610 - (610 x 20)/100
= 610 - 122 = 488
? Number of girls in school this year
= Number of boys in school this year x 175%
= (488 x 175)/100
= (488 x 7)/4
= 122 x 7
= 854
Hence, number of girls in school this year in 854.
Correct Answer: 850
Explanation:
Let maximum marks of the exam is N.
According to the question,
Marks obtained by Vidaya = Marks obtained by Aryan + 296
? N x (76/100) = 350 + 296
? N x (76/100) = 646
? N = (646 x 100)/7
? N = 8.5 x 100 = 850
? N = 850
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