Ratio and Proportion Problems

A hare and a jackal are running a race.Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare,the jackal takes 5 leaps.Find the ratio of their speeds.

The ratio of Science and Arts students in a college is 4:3.If 14 Science students shift to Arts then the ratio becomes 1:1.Find the total strength of Science and Arts students.

A certain amount of money is to be divided between A and B in the ratio 3:1.But because of a miscalculation A received 1/14 of the total money additionally.Find the ratio in which they divided the money.

What number must be added to two numbers which are in the ration 6:7 so that the ratio becomes 8:9 and sum of the resulting numbers is 289.

The ratio of the previous year’s prices of M and A is 3:2.The ratio of the previous year’s price and present price of M is 2:3 and A is 2:5.If the combined present price of M and A is 9.5 lakhs,find the previous year’s price of M.

In a class of 70 students, the ratio of boys and girls is 4:3.Among the girls the ratio of the number of rich and poor is 1:4.If the ratio of the number of rich and poor students is 8:27,find the ratio of the number of rich and poor boys in the class.

The value of a diamond is proportional to the square of its weight.It is broken into three pieces whose weights are in the ratio 3:2:5.Find the loss incurred due to breakage if the value of the original diamond is 20,000 Rs.

Two numbers are in the ratio 5:6.If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5.Find the sum of the two numbers.

The monthly income ratio of A and B is 6:5.The ratio of their monthly expenditures is 3:2.If B saves one-fourth of this income,find the ratio of their monthly savings.

The ratio of two numbers is 5:6.If a number is added to both the numbers the ratio becomes 7:8.If the larger number exceeds the smaller number by 10,find the number added.