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- Question
A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ?
Options- A. 54 %
- B. 64 %
- C. 74 %
- D. 84 %
- Correct Answer
- 64 %
ExplanationLet the number be x.
Then, ideally he should have multiplied by x by 5/3. Hence Correct result was x * (5/3)= 5x/3.
By mistake he multiplied x by 3/5 . Hence the result with error = 3x/5
Then, error = (5x/3 - 3x/5) = 16x/15
Error % = (error/True vaue) * 100 = [(16/15) * x/(5/3) * x] * 100 = 64 %
- 1. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Options- A. 10000
- B. 12000
- C. 14000
- D. 16000 Discuss
- 2. If 20% of a = b, then b% of 20 is the same as :
Options- A. 4% of a
- B. 6% of a
- C. 8% of a
- D. 10% of a Discuss
- 3. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
Options- A. 20
- B. 30
- C. 40
- D. 50 Discuss
- 4. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Options- A. 2500
- B. 2700
- C. 2900
- D. 3100 Discuss
- 5. Profit of Rs 135200 has to be divided among three partners Aashay, Bhairav and Chetan in the ratio 4:3:6. How much Rs. does Chetan get?
Options- A. 31200
- B. 41600
- C. 62400
- D. 93600 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Percentage problems
Search Results
Correct Answer: 12000
Explanation:
Purchase price = = Rs. [8748 * (10/9) * (10/9 )* (10/9)] = Rs.12000
Correct Answer: 4% of a
Explanation:
20% of a = b
=> (20/100) * a = b
b% of 20 =(b/100) x 20 = [(20a/100) / 100] x 20= 4a/100 = 4% of a.
Correct Answer: 40
Explanation:
The fruit content in both the fresh fruit and dry fruit is the same.
Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg
Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.
Fruit % in freshfruit = Fruit% in dryfruit
Therefore, (32/100) x 100 = (80/100 ) x y
we get, y = 40 kg.
Correct Answer: 2700
Explanation:
Total number of votes = 7500
Given that 20% of Percentage votes were invalid
=> Valid votes = 80%
Total valid votes = 7500*(80/100)
1st candidate got 55% of the total valid votes.
Hence the 2nd candidate should have got 45% of the total valid votes
=> Valid votes that 2nd candidate got = total valid votes x (45/100)
7500*(80/100)*(45/100) = 2700
Correct Answer: 62400
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
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%
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.
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.
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%
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