Question 1

In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio…

Accepted Answer

Ratio of fruits (by dozen) = 3:2:7 Ratio of fruits (by weight) = 120 :150: 24 Therefore, Ratio of fruits (combined) by weight = 3 x 120 : 2 x 150 : 7 x 24 = 30 : 25 : 14

Question 2

Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number of graduates having experience?

Accepted Answer

Given total applicants = 135 Given graduates are G=60 Otherthan graduates=135-60 = 75 Given experienced candidates = 80 1) For maximum number of graduates have experience Total graduates to have experience = 60 2) For minimum number of graduates have experience Remaining after taking other than graduates in experience= 80-75 = 5

Question 3

Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?

Accepted Answer

Given the salaries are in the ratio of 4 : 5 : 6 Now the salaries are increased by 50%, 60% and 50% respectively The New ratio of salaries will be 4 x (150/100) : 5 x (160/100) : 6 x (150/100) = 6 : 8 : 9 The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

Question 4

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

Accepted Answer

504/M = 384/800 (504 x 800) / 384 = M M = 1050

Question 5

A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

Accepted Answer

Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then, (4x)/(3x+5) = 4/5 => 20x = 4(3x+5) => x = 2.5 Quantity of alcohol = (4 * 2.5) liters = 10 liters.

Question 6

A, B and C have amounts in the ratio of 3 : 4 : 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C respectively.

Accepted Answer

A B C 3x 4x 5x (3x+x) 2x (5x+x) (B Gives 1/4 to A and 1/4 to C) =4x 2x 6x (4x+x) 2x 5x ( C Gives 1/6 to A) =5x 2x 5x Therefore, 5 : 2 : 5

Question 7

At a casino in mumbai, there are three tables A, B and C. The payoffs at A is 10:1, at B is 20:1 and at C is 30:1. If a man bets Rs 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can b…

Accepted Answer

Maximum earning will be only when he will won on the maximum yielding table. A ----> 10:1 B ----> 20:1 C ----> 30:1 i.e, he won on B and C but lost on A 20 x 200 + 30 x 200 -1 x 200 = 9800 minimum earning will be when he won on table A and B and lose on that table 3. Therefore, 10 x 200 + 20 x 200 - 1 x 200 = 6000-200 = 5800 Therefore, Difference= 9800 - 5800 = 4000

Question 8

What is the equivalent compound ratio of 5:6::7:10::6:5 ?

Accepted Answer

Given 5:6 :: 7:10 :: 6:5 We know that compound ratio is calculated as a:b :: c:d :: e:f (axcxe):(bxdxf) => (5x7x6):(6x10x5) => (210):(300) = 7:10

Question 9

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

Accepted Answer

4:5 3:2 ------- => 12:15:10 12:10 => 6:5

Question 10

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

Accepted Answer

Given k : l = 4 : 3 l : m = 5 : 3 Then k : l : m = 20 : 15 : 9

Question 11

A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

Accepted Answer

6,400 gents, 2400 ladies in that company. So total 8,800employees. for 8,800 employees, we want 2400 ladies. for 12,100employees we want how many ladies ? => (12,100/8,800) x 2400 = 3300. So we want 3300 - 2400 = 900 more ladies.

Question 12

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

Accepted Answer

Given ratio = 1/2:2/3:3/4 = 6:8:9 1st part = 782 x 6/23 = Rs. 204.

Question 13

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27, what is the total amount ?

Accepted Answer

K : L : M = 100 : 45 : 30 = 20 : 9 : 6 Given L share is 27 => 9 ------ 27 35 ------ ? => 105

Question 14

Pooja, Shipra and Mounika are three sisters .Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Mounika alone. Three years earlier the ratio of age of Pooja and Mounika was 2:7 . what will be the age of S…

Accepted Answer

Since Pooja and Shipra are twins so their ages be same. Let their ages be x and age of Mounika be y , then x+x = y -------(1) and x - 3 y - 3 = 2 7 ⇒ 7 x - 2 y = 15 Now, from equation (1), 7x - 4x = 15 => x = 5 So the age of Shipra 3 years hence will be 5+3 = 8 years

Question 15

Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?

Accepted Answer

Ratio C1:C2 = 3:5 and C2:C3 = 7:11 So C1:C2:C3 = 21 : 35 : 55 Let the strength of three classes are 21x, 35x and 55x respectively, then Given that 21x + 35x + 55x = 333 => 111x = 333 or x=3 So strength of the class with highest number of students =55x = 55x3 = 165.

Question 16

At a game of billiards, A can give B 20 points in 60 and A can give C 15 points in 60. How many points can C give B in a game of 90 ?

Accepted Answer

a:b = 60:40 a:c = 60:45 c/a x a/b = 45/60 x 60/40 = 45/40 = 90/80 So C gives B => 10 points.

Question 17

The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?

Accepted Answer

Given ratio of number of sheep and horses = 4 : 15 Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32

Question 18

What will be the average of the first 5 positive even numbers divisible by 9?

Accepted Answer

54

Question 19

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

Accepted Answer

The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21 = 315 : 525 : 735 = 3 : 5 : 7 The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500

Question 20

A Product is supported each week by the same three Product supporters. Last month the first supporter took 440 calls, the second took 360 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three supporters ea…

Accepted Answer

1st supporter recieve 440 calls 2nd supporter recieve 360 calls 3rd supporter recieve 300 calls So total calls = 1100 calls ; Calls this month= 1500 So remaining calls to be distributed is 400 So Now Ratio 1st:2nd:3rd ==> 440:360:300 => 22:18:15 Now No. of More Calls 2nd supporter will get => [18/(22+18+15)] x 400 => (18/55) x 400 => 131 Calls So 131 more Calls than last month.

Ratio and Proportion Questions