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- Question
Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?
Options- A. 76.8
- B. 86.8
- C. 78.8
- D. 84.8
- Correct Answer
- 84.8
ExplanationLet 'M' be the maximum marks in the examination.
Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)
Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8. - 1. If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?
Options- A. 4:3
- B. 2:3
- C. 3:2
- D. 5:3 Discuss
- 2. In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?
Options- A. 625
- B. 525
- C. 425
- D. 325 Discuss
- 3. A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?
Options- A. 52%
- B. 64%
- C. 84%
- D. 77% Discuss
- 4. 83% of 2350 = ?
Options- A. 1889.95
- B. 1912.35
- C. 1875.25
- D. 1950.50 Discuss
- 5. A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:
Options- A. 0
- B. -2
- C. -4
- D. 5 Discuss
- 6. 80% of 900 + 162 x 4 x ? = 113 - 99
Options- A. 0.5
- B. 1
- C. 4
- D. 0 Discuss
- 7. A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?
Options- A. 14.5 lit
- B. 12.8 lit
- C. 11.6 lit
- D. 10.46 lit Discuss
- 8. One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?
Options- A. 550
- B. 575
- C. 625
- D. 700 Discuss
- 9. At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ?
Options- A. 77
- B. 74
- C. 80
- D. 83 Discuss
- 10. A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?
Options- A. 105
- B. 101
- C. 98
- D. 109 Discuss
Percentage problems
Search Results
Correct Answer: 4:3
Explanation:
Let the numbers be p & q
q-p/4 = 4q/6
=> q-4q/6 = p/4
=> 2q/6 = p/4
=> p/q = 4/3
Correct Answer: 525
Explanation:
Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.
Correct Answer: 84%
Explanation:
Let the number be 'x'
Then, according to the given data,
=
= 84%
Correct Answer: 1950.50
Explanation:
Correct Answer: -2
Explanation:
and
x = 4 and y = 6
x-y = -2
Correct Answer: 0.5
Explanation:
80x900/100 + 256 x 4 x ? = 1331 - 99
720 + 1024 x ? = 1232
? = 1232 - 720/1024
? = 512/1024 = 0.5
? = 0.5
Correct Answer: 12.8 lit
Explanation:
This can be solved as
Correct Answer: 700
Explanation:
Let number of boys = B
Number of girls = G
From the given data,
1B/3 + 1G/2 = 300
But given B/3 = 100
=> B = 300
G/2 = 300 - 100
G = 200 x 2
=> G = 400
Therefore, total number of students in the college = B + G = 700.
Correct Answer: 80
Explanation:
Let marks obtained by S = M
R's marks = 0.80M
Q's marks = 1.25 (0.80M)
P's marks = (0.90) (1.25) (0.80M)
= 0.9M
But 0.9M = 360
M = ?
M = 400
Hence % of marks obtained by S
= 400/500 x 100 = 80%.
Correct Answer: 105
Explanation:
Let number of pages in a book = p
According to questions
p - [3p/7 + (2/5 x 4p/7)] = 36
= p - 23p/35 = 36
=> 12p = 36 × 35
p = 105
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