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If 45% of a number is added to the another number, the first number becomes 135 times of the another number. What is the ratio of these two numbers?

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Important Questions on Ratios and Proportional Relationships

EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
If x α y then
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A car consumes 5.4  litres of petrol to cover 60.48 km , how many kilometres be covered with 22 litres  of petrol?
HARD
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

The cost of milk per litre is ₹15. Draw the graph for the relation between the quantity and cost. Hence find the proportionality constant.

MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A set of farmers can completely harvest a crop in 10days. However 12 farmers fell ill and now the remaining can do this job in 15 days. Find the original number of farmers.
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Ranu’s monthly salary is four-fifth of Ali’s monthly salary. Ranu and Ali save one-fourth and two-fifth amount from their respective monthly salary. If the difference between the amount saved by Ranu and that saved by Ali is Rs. 7000, what is Ranu’s monthly salary?
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

If p persons working p hours a day for each of p days produce p units of work, then the units of the work produced by q persons working q hours a day for each q day is:

HARD
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

The cost of milk per litre is ₹15. Draw the graph for the relation between the quantity and cost. Hence find the cost of 3 litres of milk..

EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
If y=3+1.9x, and mode of x is 15, then the mode of y is:
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Divide 27 into two parts so that 5 times the first and 11 times the second together equal to 195. The ratio of the first and second part is _____.
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A sum of Rs. 221 is divided among X, Y and Z such that X gets Rs. 52 more than Y. Y gets Rs. 26 more than Z. The ratio of the shares of X, Y and Z respectively is
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
If x varies as yz, then y varies inversely as
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A certain amount of money has to be divided between two persons P and Q in the ratio 5:7. But it was divided in the ratio 2:5 and thereby Q gets an additional Rs.33. Find the total amount.
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Mayank can do a piece of work in 3 days. Sanjay can do the same work in 4 days. The wage for full work is ₹350. If both work together to complete the work, then find out the earning of Sanjay if the wages are paid in proportion to work done.
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
How much time the minute hand of a clock will take to describe an angle of 2π3 radians ?
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A sum of ₹549 is to be divided among Priya, Preeti and Sonu in such a way that 3 times Priya's share, 4 times Preeti's share and 7 times Sonu's share are all equal. What is the share of Priya?
EASY
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Gita, Shweta and Sita invested Rs. 4200, Rs. 8400 and Rs. 5400 respectively while starting a business. At the end of the year, they earned a profit of Rs. 24,000. Sita invested 32% of her share of the profit in a savings scheme. How much amount is left with her?
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity(in litres) of the solution, in the beginning in the vessel, was
HARD
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
There are two candles of same length and same size. Both of them burn at uniform rate. The first, one burns in 5 hours and the second one burns in 3 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
The respective ratio between two positive numbers (X and Y) is 3:5. When 2 is added to both the numbers, the ratio between them becomes 5:8. What is the difference between both the numbers?
MEDIUM
Mathematics>Arithmetic>Ratios and Proportional Relationships>Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
A certain sum is divided among A, B and C in such way that A gets Rs. 40 more than half of the sum. B gets Rs. 120 less than three-eighths of the sum and C gets Rs. 200. What is the total sum?