Percentage problems
- 1. What should come in place of the question marks(?), so that it satisfies equality of the given equation?
32% of 750 =?
Options- A. 23% of 600
- B. 46% of 207
- C. 98% of 250
- D. 75% of 320 Discuss
Correct Answer: 75% of 320
Explanation:
32% of 750 = 750 x (32/100) = 240
From option (a), 23% of 600
= 600 x 23/100 = 138
From option (b), 46 % of 207
= 207 x 46/100 = 95.22
From option (c), 98% of 250
= 250 x 98/100 = 245
From option (d), 75% of 320
= 320 x 75/100 = 240
Hence, from option (d), satisfies equality of the equation.
- 2. In a class X of 30 students, 24 passed in first class; in another class Y of 35 students, 28 passed in first class. In which class was the percentage of students first class more?
Options- A. Class X has more percentage of students getting first class
- B. Class Y has more percentage of students getting first class
- C. Both classes have equal percentage of students getting first class
- D. None of the above Discuss
Correct Answer: Both classes have equal percentage of students getting first class
Explanation:
For class X, let the students passed in first class = a%
Then, by condition given in question
a% of 30 = 24
? (a x 30) /100 = 24
? a = 80%
Now, for class Y let the student passed in first class = b%
Then, according to the question,
b% of 35 = 28
? (b x 35)/100 = 28
? b = (28 x 100)/35 = 80%
Hence, both classes have equal percentage of student getting first class.
- 3. Veena spends 25% of her monthly income on household expenses. Her annual income is ? 4.32 lakh. What is the total amount that Veena spends on household expenses in 8 months together?
Options- A. ? 74000
- B. ? 71000
- C. ? 73000
- D. ? 72000 Discuss
Correct Answer: ? 72000
Explanation:
Annual household expenses
= ? (25% of 4.32 x 105)
= ? (25/100) x 4.32 x 105
= ? ( 25 x 4.32 x 103)
? Household expenses for 8 months
= ? [(25 x 4.32)/(12 x 8)] x 103)
= ? 72000
- 4. The salary of an employee of a company increase every month by 4%. If his salary in August was ? 6300, then what would be his approximate salary in month of October of the same year?
Options- A. ? 6552
- B. ? 6967
- C. ? 6814
- D. ? 6627 Discuss
Correct Answer: ? 6814
Explanation:
Required salary in October
= 6300 x (104/100) x (104/100)
= 63 x 104 x 1.04
= ? 6814.08
? ? 6814
- 5. 1 L of water is added to 5 L of alcohol and water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be?
Options- A. 30%
- B. 331/3%
- C. 332/3%
- D. 33% Discuss
Correct Answer: 331/3%
Explanation:
Quantity of alcohol in 5 L of solution = (40/100) x 5 = 2 L
Quantity of alcohol in 6 L of solution = 2 L
? Strength of alcohol in new solution = (2/6) x 100%
= 331/3%
- 6. In an examination, 49% students failed in English, 36% students failed in Hindi, While 15% failed in both. if total number of passed students in 450, then how many students did appear in the examination?
Options- A. 1800
- B. 2000
- C. 1100
- D. 1500 Discuss
Correct Answer: 1500
Explanation:
According to the formula .
Percentage of students passed in both the subjects
= [100 - (x + y - z)]%
= [100 - (49 + 36 - 15)]% = 30%
Let total number of students = N
According to the question,
(N x 30)/100 = 450
? N = (450/30) x 100 = 1500
? Total number of students = 1500
- 7. Bina's monthly income is 90% of Anita's monthly income. The total of both their monthly income is Mr. Sen's monthly income. Mr. Sen's annul income is ? 775200. What is Bina's monthly income?
Options- A. ? 34000
- B. ? 36000
- C. ? 30600
- D. ? 30000 Discuss
Correct Answer: ? 30600
Explanation:
Mr. Sen's monthly income
= (Bina + Anita)'s monthly income = 775200/12 = ? 64600
According to the question.
Bina's monthly income = 90% of Anita's monthly income
? Bina/Anita = 90/100 = 9 /10
? Bina : Anita = 9 : 10
? Bina's Monthly salary
= (9/19) x 64600
= ? 30600
- 8. In an examination, it is required to get 296 marks out of aggregate marks to pass. A students gets 222 marks and is declared failed by 10% marks . What are the maximum aggregate marks a students can get?
Options- A. 830
- B. 810
- C. 780
- D. 740 Discuss
Correct Answer: 740
Explanation:
Let the maximum aggregate marks be N
According to the question,
10% of N = 296 - 222
? N/10 = 74
? N = (74 x 10) = 740
- 9. In an office, 40 % of the staff is female. 40% of the female and 60% of the male voted for me. The percentage of votes I got was
Options- A. 24%
- B. 42%
- C. 50%
- D. 52% Discuss
Correct Answer: 52%
Explanation:
Let the total number of staff be 100.
? Female staff = 40
Male staff = (100 - 40) = 60
Votes cast by females = (40/100) x 40 = 16
Votes cast by males = (60/100) x 60 = 36
Votes cast by both (males + females) = 16 + 36 = 52
? Percentage votes obtained = 52%
- 10. A reduction of 20% in the price of wheat enables a person to buy
3.5 kg more wheat for ? 770. The original price of rice is?
Options- A. ? 55 per kg
- B. ? 45 per kg
- C. ? 65 per kg
- D. ? 37 per kg Discuss
Correct Answer: ? 55 per kg
Explanation:
Here, R = 20%, A = 3.5 kg and P = ? 770
According to the formula ,
Actual price of rice = [PR /(100 - R)] A
= [(20 x 770) / (100 - 20)] x 3.5
= [(20 x 770) / (80 x 3.5)
= ? 55
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