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- Question
- The average weight of the students in four sections A, B, C and D is 60 kg. The average weight of the students of A, B, C and D individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section A and B together is 48 kg and that of B and C together is 60 kg. What is the ratio of the number of the students in sections A and D?
Options- A. 12 : 7
- B. 4 : 3
- C. 3 : 2
- D. 8 : 5
- Correct Answer
- 4 : 3
ExplanationLet number of students in the sections
A, B, C and D be a, b, c and d respectively.
Then, total weight of students of sections A = 45a
Total weight of students of section B = 50b
Total weight of students of section C = 72c
Total weight of students of section D = 80d
According to the question,
Average weight of students of sections of A and B = 48 kg
? (45a + 50b)/(a + b) = 48
? 45a +50b = 48a + 48b
? 3a = 2b
? 15a = 10b
And average weight of students of sections B and C = 60 kg
? 50b + 72c = 60(b + c)
? 10b = 12c
Now, average weight of students of A, B, C and D = 60 kg
? 45a + 50b + 72c + 80d = 60(a + b + c + d)
? 15a + 10b - 12c - 20d = 0
? 15a = 20d
? a : d = 4 : 3 - 1. x% of y is y% of?
Options- A. x
- B. 100x
- C. x/100
- D. y/100 Discuss
- 2. If 37 1/ 2% of a number is 900,then 62 1/ 2% of the number is?
Options- A. 1200
- B. 1350
- C. 1500
- D. 540 Discuss
- 3. Subtracting 6% of A from A is equivalent to multiplying A by how much?
Options- A. 0.94
- B. 9.4
- C. 0.094
- D. 94 Discuss
- 4. The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?
Options- A. 331/3%
- B. 371/2%
- C. 40%
- D. 45% Discuss
- 5. ? (3.6% of 40) is equal to?
Options- A. 2.8
- B. 1.8
- C. 1.2
- D. None of these Discuss
- 6. A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?
Options- A. 200
- B. 250
- C. 275
- D. 300 Discuss
- 7. A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?
Options- A. 4% loss
- B. 4% profit
- C. 10% loss
- D. 10% profit Discuss
- 8. What is 5% of 50% of 500?
Options- A. 12.5
- B. 25
- C. 1.25
- D. 6.25 Discuss
- 9. 25% of what amount of money is equal to 12 1/ 2 of ? 180?
Options- A. ? 120
- B. ? 75
- C. ? 80
- D. ? 90 Discuss
- 10. The monthly income of a person is ? 5000. If his income is increased by 30% then what is his monthly income now?
Options- A. ? 7000
- B. ? 5500
- C. ? 4500
- D. ? 6500 Discuss
More questions
Correct Answer: x
Explanation:
Let x% of y = y% of A, then
? xy / 100 = yA/100
? A = (xy/100) x (100/y) = x
Correct Answer: 1500
Explanation:
Let 371/2% of A = 900
? {(75/2) x A} x 100 = 900
? A = (900 x 2 x 100) / 75 = 2400
So, 621/2% of A = (125/2) x (1/100) x 2400 =1500
Correct Answer: 0.94
Explanation:
Let A - 6% of A = AB.
? (94 x A) / 100 = AB
? B = 0.94
Correct Answer: 371/2%
Explanation:
Let original price = Rs. 100
? Increase price = Rs. 160
? Decrease on Rs. 160 = Rs. 60
? Decrease on Rs. 100 = (60/160) x 100 % = 371/2%
Correct Answer: 1.2
Explanation:
?(3.6/100) x 40
= ?1.44 = 1.2
Correct Answer: 200
Explanation:
Minimum passing marks = 50 + 50 = 100
Let the total marks = x
Then, 50% of x = 100
? x = (100/50) x 100 = 200
Correct Answer: 4% loss
Explanation:
Profit or loss percent = ab/100 %
= (20 x 20)/100 %
= -4%
Correct Answer: 12.5
Explanation:
5% of 50% of 500
= (5/100) x (50/100) x 500
= 12.5
Correct Answer: ? 90
Explanation:
Let the required amount of money be N.
Then, N x 25% = 180 x 121/2%
? N = (180 x 12.5)/25
= ? 90
Correct Answer: ? 6500
Explanation:
Monthly income of a person = ? 5000
Increment in income = (30/100) x 5000 = 1500
New income = 5000 + 15000 = ? 6500
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