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Ratio and Proportion
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Ratio and Proportion
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25 Questions

1. When 30% of one number is subtracted from another number - the second number reduces to its own fourfifth. What is the ratio between the first and the second numbers respectively?
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. One of the angles of a quadrilateral is thrice the smaller angle of a parallelogram. The respective ratio between the adjacent angles of the parallelogram is 4 : 5. Remaining three angles of the quadrilateral are in ratio 4 : 11 : 9 respectively. What is the sum of the largest and the smallest angles of the quadrilateral?
4. 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?
5. 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 ?
6. Four years ago - the respective ratio between the age of Ram and that of Sonu - was 4 : 9. Tina is ten years older than Ram. Tina is ten years younger than Sonu. What is Tina's present age ?
7. 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?
8. An amount of money is to be divided among P - Q and R in the ratio of 3 : 5 : 7 respectively. If the amount received by R is Rs.4 - 000 more than the amount received by Q - what will be the total amount received by P and Q together ?
9. 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 ?
10. Radha-™s present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj-™s present age and Radha-™s present age is 4 : 9.What will be Raj'S age after 5 years ?
11. The respective ratio of - the present age of a mother and daughter is 7 : 1. Four years ago the respective ratio of their age was 19 : 1. What will be the mother-™s age four years from now?
12. 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 ?
13. 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 ?
14. The respective ratio between the present age of son - mother - father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother Is 27 years. What Will be mother-™s age after 7 years?
15. Smallest angle of a triangle is equal to two-third of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle of the quadrilateral?
16. The respective ratio between the present age of Ram and Rakeshis 6 : 11. Four years ago the ratio of their age was 1 : 2 respectively. What will be Rakesh-™s age after five years?
17. Present age of Amit and his father are in the ratio of 2 : 5 respectively. four years hence the ratio of their age becomes 5 : 11 respectively. What was father-™s age five years ago ?
18. The ratio of present ages of P and Q is 8 : After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P-™s age after 7 years from now and Q's age now?
19. One of the angles of a triangle is two-third of sum of adjacent angles of parallelogram. Remaining angles of the triangle are in ratio 5 : 7 respectively. What is the value of second largest angle of the triangle ?
20. 15 years ago the average age of a family of four members was 40 years. Two children were bom in that span of 15 years. The present average age of the family remained unchanged. Among the two children who were bom in between the 15 years. If the older child at present is 8 years more than the younger one - what is the respective ratio between the present age of the older child and the present age of the younger child 7
21. 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 ?
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. 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?
24. The ratio between the three angles of a quadrilateral is 1 : 4 : 5 respectively. The value of the fourth angle of the quadrilateral is 60. What is the difference between the value of the largest and the smallest angles of the quadrilateral ?
25. A sum of Rs. 221 is divided among X - Y and Z such that X gets Rs. 52 more than Y. Y gets % 26 more than Z. The ratio of the shares of X - Y and Z respectively is :