Ratio and Proportion problems
- 1. Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ?
Options- A. 25 : 114
- B. 35 : 103
- C. 15 : 108
- D. 41 : 94 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 35 : 103
Explanation:
Santhosh's investment = 6000 x 70/100 = Rs.4200
Rajitha's investment = 4200 x 5/4 = Rs.5250
Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.
Required ratio = 5250 : 15450 = 35 : 103.
- 2. The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?
Options- A. 1 : 1 : 2
- B. 6 : 6 : 13
- C. 12 : 15 : 19
- D. 4 : 9 : 13 Also asked in: Bank Exams
Correct Answer: 1 : 1 : 2
- 3. 6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. what is the ratio of the efficiency of a kirlosker pump and a USHA pump?
Options- A. 6:7
- B. 7:6
- C. 7:54
- D. None of these Discuss
Correct Answer: 6:7
Explanation:
The number of days required by a single kirlosker pump to fill the tank = 6 x 7 =42 days and the number of days required by a single USHA pump to fill the same tank = 2 x 18 =36 days.
Now , since efficiency is inversely proportional to the number of days. Hence,
- 4. If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?
Options- A. 5
- B. 4
- C. 20
- D. 28 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 20
Explanation:
Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.
- 5. What is the third proportional to 9 and 45?
Options- A. 405
- B. 225
- C. 5
- D. 81 Also asked in: Bank Exams
Correct Answer: 225
- 6. The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?
Options- A. 45
- B. 30
- C. 50
- D. 48 Also asked in: Bank Exams
Correct Answer: 45
- 7. Visitors to a show were charged Rs. 15 each on the first day, Rs. 7.50 on the second day, Rs. 2.50 on the third day and total attendance on three days were in the ratio 2:5:13 respectively. The average charge per person for the entire three days is
Options- A. Rs. 5
- B. Rs. 5.50
- C. Rs. 6
- D. Rs. 7 Also asked in: Bank Exams
Correct Answer: Rs. 5
- 8. Which of the following could not be the lengths of the sides of a right angled triangle?
Options- A. 3, 4, 5
- B. 5, 12, 13
- C. 8, 15, 17
- D. 12, 15, 18 Also asked in: GRE
Correct Answer: 12, 15, 18
Explanation:
Using Pythagoras theorem we can see that 122 + 152 is not equal to 182
Neither is 102 + 242 = 252
- 9. There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?
Options- A. 88
- B. 96
- C. 108
- D. 121 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO, Network Engineer, Project Manager
Correct Answer: 88
Explanation:
Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.
- 10. Find the fourth proportional to 2, 3, 6.
Options- A. 9
- B. 10
- C. 7
- D. 8 Also asked in: Bank Exams
Correct Answer: 9
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