Ratio and Proportion Questions

• Find two numbers such that their mean proportion is 8 and third proportion is 64.
• Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?
• The ratio of three numbers is 5 : 6 : 8. If the sum of the three numbers is 380, then what is the smallest among the three numbers?
• The flight fare between two cities is increased in the ratio 9:11. What is the increase (in Rs) in the fare, if the original fare was Rs. 18,000?
• A bag has Rs12.9 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 3:2:3. How many 50 paise coins are there in the bag?
• A profit of Rs. 960 is divided between A and B in the ratio 1/3:1/2. The difference of their profit is :
• The third proportional of two numbers 9 and 24 is
• In what ratio does the point T (3,0) divide the segment joining the points S (4,2) and U (1,4)?
• In an army selection process, the ratio of selected to unselected was 3:1. If 80 less had applied and 40 less selected, the ratio of selected to unselected would have been 4:1. How many candidates had applied for the process?
• The bus fare between two cities is increased in the ratio 17:20. Find the increase in the fare, if the original fare is Rs. 425
• The ratio of number of boys and girls in a school of 720 students is 7 : 5 . How many more girls should be admitted to make the ratio 1 : 1 ?
• The reciprocals of the squares of the numbers 11⁄2 and 11⁄3 are in the ratio
• If 3A = 2B = 4C; then what is A : B : C?
• In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?
• The ratio of money with Ram and Gopal is 7:17 and with Gopal and Krishan is 7:17. If Ram has 490, Krishan has
• A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the saving is 61 : 6. If his monthly income is Rs.8710, the amount of his monthly savings is
• The third proportional of the following numbers (x - y)2, (x2 - y2)2 is
• Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are
• In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?
• The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?