Percentage problems
- 1. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :
Options- A. 500
- B. 600
- C. 800
- D. 1000 Discuss
Correct Answer: 500
Explanation:
Given that the student got 125 marks and still he failed by 40 marks
=> The minimum pass mark = 125 + 40 = 165
Given that minimum pass mark = 33% of the total mark
=> total mark =33/100 =165
=> total mark = 16500/33 = 500
- 2. if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :
Options- A. 10
- B. 20
- C. 30
- D. 40 Discuss
Correct Answer: 10
Explanation:
Let the original price be Rs. 100.
New final price = 120 % of (75 % of Rs. 100) = Rs. [(120/100) * (75/100) * 100] = Rs. 90.
Decrease = 10%
- 3. A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?
Options- A. 6 %
- B. 8 %
- C. 10 %
- D. 12 % Discuss
Correct Answer: 8 %
Explanation:
Let the total income be x.
Then, income left = (100 - 80)% of [100 - (35 + 25)] % of x = 20% of 40% of x = [(20/100) * (40/100) * 100] % of x = 8 % of x.
- 4. Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?
Options- A. 3864
- B. 4903
- C. 5849
- D. 6789 Discuss
Correct Answer: 3864
Explanation:
Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400 = Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.
- 5. In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:
Options- A. 47.5%
- B. 41%
- C. 38%
- D. 45% Discuss
Correct Answer: 45%
Explanation:
Let there be x voters and k votes goes to loser then
0.8x - 120 = k + (k + 200)
k+200 = 0.41x
=> k = 1440
and (k + 200) =1640
Therefore 1440/3200 x 100 = 45%
- 6. 405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?
Options- A. 9
- B. 10
- C. 11
- D. 12 Discuss
Correct Answer: 9
Explanation:
Let the total number of children be x.
Then, x * (20% of x) = 405
=> x * 20x/100 = 405
= 405
=> x=45
Number of sweets received by each child = 20% of 45 = 9.
- 7. If 75% of a number is added to 75, then the result is the number itself. The number is :
Options- A. 100
- B. 200
- C. 300
- D. 400 Discuss
Correct Answer: 300
Explanation:
Let the number be x, Then
75% of x + 75 = x
=> x - 75x/100 =75
=> x = 300 .
- 8. If A's height is 40% less than that of B, how much percent B's height is more than that of A?
Options- A. 66.66%
- B. 76.66%
- C. 96.66%
- D. 86.66% Discuss
Correct Answer: 66.66%
Explanation:
Excess of B's height over A's = [(40/(100 - 40)] x 100% = 66.66%
- 9. A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
Options- A. Rs.180
- B. Rs.120
- C. Rs.480
- D. data insufficient Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Rs.120
Explanation:
Commission up to 10000 = = 900
Again after 10000,
Commission : Bonus
9 : 3
3x : x
Therefore, Bonus =
- 10. What percent of 7.2 kg is 18 gms ?
Options- A. .25%
- B. .5%
- C. .75%
- D. 1% Discuss
Correct Answer: .25%
Explanation:
Required percentage = (18/7200 * 100)% = 1/4% = 0.25%
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