Ratio and Proportion
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Ratio and Proportion
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25 Questions

1. A and B together can complete atask in 15 days. B and C together can complete the same task in 20 days. A and C together can complete the same task in 30 days'. What is the respective ratio of the number of days taken by A while completing the same task alone to the number of days taken by C while completing the same task alone?
2. The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?
3. There was a science exhibition in an auditorium. On the first day 14 persons visited the exhibition - on the second day 12 persons and on the third day only 10 persons visited the exhibition. The ratio of admission fees collected from each of them on these days was 2 : 3 : 5 respectively. If the total amount collected on these three days was Rs. 4560 - what amount was collected on the first day ?
4. The average weight of boys in a class is 45 kg while that of girls Is 36 kg. The average weight of the whole class is 42.25 kg. What is the respective ratio between the number of boys and girls in the class?
5. The largest and the smallest angles of a triangle are in tile ratio of 3 : 1 respectively. The second largest angle of the triangle is equal to 44. What is the value of 150 percent of the largest angle of the triangle?
6. The age of Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their age will be 3 : 4. What is the difference in their age ?
7. Which of the following represents ab = 64 ?
8. A sum of money is to be divided among four persons in the ratio of 2 : 3 : 4 : 5. Out of the four - one person gets Rs. 200 more than the other and Rs.100 less than another. What is the sum ?
9. The ratio of the present age of Mahesh and Ajay is respectively 3 : 2. After 8 years - ratio of their age will be 11 : 8. What will be the present age of Mahesh's son if his age is half of the present age of Ajay?
10. The largest and the second largest angles of a triangle are In the ratio of 4 : 3 respectively. The smallest angle Is half the largest angle. What Is the difference between the smallest and the largest angles of the triangle?
11. The respective ratio between the present age of Aarti and Savita Is 5 : x. Aarti Is 9 years younger than Jahnavi. Jahnavi-™s age after 9 years will be 33 years. The difference between Savita-™s and Aarti-™s age is same as the present age of Jahnavi. What will ( come in place of x ?)
12. Rohit has some 50 paisa coins - some 2 rupee coins - some 1 rupee coins and some 5 rupee coins. The value of all the coins is Rs. 50. Number of 2 rupee coins is 5 more than that of the 5rupeecoins. 50 paisa coins are double In number than 1 rupee coins. Value of 50 paisa coins and 1 rupee coins is Rs. 26 - How many 2 rupee coins does he - have?
13. The largest and the second largest angles of a triangle are in the ratio of 13 : 12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What Is the sum of the smallest and the second largest angles ?
14. The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father-™s present age ?
15. The ratio of the age of Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh ?
16. The age of Sulekha and Aruni-ma are in the ratio of 9 : 8 respectively. After 5 years the ratio of their age will be 10 : 9. What is the difference (in years) between their age?
17. When a number is added to a second number - the sum is 1000/3 percent of the second number. What is the ratio between the first number to the second number?
18. If 50% of a certain number is equal to 3/4th of another number - what Is the ratio between the numbers?
19. Salaries of A - B and C are in the ratio of 2 : 3 : 5 respectively. If their salaries were increased by 15% - 10% and 20% respectively what will be the new respective ratio of their salaries ? .
20. Number of students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join ' Arts faculty while 80 more students join Science faculty - the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together ?
21. The present ages of Ranjana and Rakhl are in the ratio of 15 : 17 respectively. After 6 years - the respective ratio between the age of RanjanaandRakhi will be 9 : 10.What will be the age of Ranjana after 6 years?
22. Ratio of the earnings of A and B is 4 : 7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25% the new ratio of their earnings becomes 8 : 7 respectively. What are A's earnings ?
23. If 7 boys and 2 men working together can do three times as much work per hour as a boy and a man together - what will be the respective ratio of work done by a boy and a man for the given time?
24. The present age of vishal and Shekhar are In the ratio of 14 : 17 respectively. Six years from now - thier age will be in the ratio of 17 : 20 respectively - What is Shekhar-™s present age ?
25. B is 8 years older than A and 8 years younger than C. 12 years hence - respective ratio of the ages of A and C will be 5 : 9. What is the sum of present ages of A - B and C ?