Ratio
Ratio: Overview
This topic covers concepts, such as, Understanding Proportion as Equality of Ratios, Statement of Proportions, Third Proportional & Mean Proportional etc.
Important Questions on Ratio
If is divided among three persons A, B and C in the ratio .how much does A get?

A certain amount is distributed among in the ratio of respectively. If got less than , what is the share of

Lara had a certain sum of money. She bought books with of her money, and cosmetics with of the remainder. Finally, she purchased a toy by spending of what remained. She was then left with . How much money did she have at the beginning?


Sum of two different positive integers is and the sum of their squares is . What is the ratio of larger integer to the smaller integer?

The ratio of expenditure and savings is . If the income increases by and the savings increases by , then by how much percent should his expenditure increases?

A bag contains the coins of and in the ratio of . If the total value of the coins is , what is the number of coins?

In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is younger to her husband and the brother is older than his sister. What is the age of the mother?

If the ratio of the areas of two similar triangles is , then the ratio of their corresponding sides is _____.

Find the sub duplicate ratio of :

A bag contains paise and paise coins in the ratio of .Find the sub duplicate ratio of the ratio of coins:

Manoj & Nilu invested Rs. ‘P’ and Rs. respectively, while Manoj left the business after eight months. If Manoj gets 50% less profit than Nilu at the end of one year, then find ‘P’?

A box contains the mixture of black and red pens in the ratio . If pens of each color are removed, then the ratio of the number of black and red pens becomes . What is the initial number of black pens in the box?

In a company there are 54 employees, in which some of males and some of females. If a employee select at random for the post of MD, then probability of being that employee is a female is 1/6 . Find how many male employees in company ?

In a college, the ratio of the number of students studying in Arts, Commerce and Science was respectively. If the number of the students in these streams be increased by and respectively, the new ratio of the number of students in these streams will be?

A sum of money is divided among A, B, C and D in the ratio of 2 : 3 : 7 : 11. If the share of C is 2755 more than the share of A, then what is the total amount of money of B and D together?

A piece of cloth is cut into pieces in the ratio of by length. The longer of the two is further cut in the ratio of by length. What is the ratio of each of the three pieces?

A certain amount was to be distributed among A, B and C in the ratio respectively but was erroneously distributed in the ratio respectively. As a result of this, B got less. What was the distributed amount?

Populations of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respective ratio of their populations becomes 25:36. What is the population of village X ?

The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25% and that of B by Rs.50000. If their prices are now in the ratio 9 : 10, the price of A last year was-
