Ratio and Proportion Exercise 1

Pinku, Rinku and Tinku divide an amount of ₹4,200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of ₹200 is added to each of their shares, what will be the new respective ratio of their shares of amount?

The total number of students in a school is 3250. If the number of girls in the school is 1495, then what is the respective ratio of the total number of boys to the total number of girls in the school?

Rinku and Pooja started a business initially with ₹5,100 and ₹6,600 respectively. If the total profit is ₹2,730 what is Rinku’s share in the profit?

A sum of money is to be divided equally amongst A, B, and C in the respective ratio of 3:4:5 and another sum of money is to be divided between E and F equally. If F got ₹1050 less than A, how much amount did B receive?

The total number of boys in a school is 15% more than the total number of girls in the school. What is the respective ratio of the total number of boys to the total number of girls in the school?

Which number should replace both the question marks in the following equation?

If A : B : C = 2 : 3 : 4,
then is equal to :

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets ₹1000 more than D, what is B’s share?

Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?

Ratio of the earning of A and B is 4:7 respectively. If the earnings of A increases by 50% and the earnings of B decreases by 25% the new ratio of their earnings becomes 8:7 respectively. What are A’s earnings?

In a college the students in Arts and Commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined Commerce faculty the ratio became 8 : 11 respectively. How many students are there in Arts faculty?

The ratio between the boys and girls in a class is 6 : 5 respectively. If 8 more boys join the class and two girls leave the class then the respective ratio becomes 11 : 7. What is the number of boys in the class now?

If ½ of Sunit’s salary is equal to ⅖ of Rajan’s salary and their total salary is ₹36,000, find Rajan’s salary.

The largest and the second largest angles of a triangle are in the ratio of 13 : 12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

Mr. Pandit owned 950 gold coins all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20 : 73 : 83. How many gold coins did Amita receive from Mr. Pandit?

Salaries of A, B and C were in the ratio of 3 : 5 : 7 respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries?

At Narmada Sarovar Bachao (NSB) demonstration, sup­porters of Ms Patkar outnumbered the police by 9 : 1. The police arrested 135 NSB supporters averaging 5 for every 3 policemen. How many supporters of NSB were there in the demonstration?

The scale of map is ¾ of cm = 1 km. If the distance on the map between two towns is 60 cm, then the actual distance is

The ratio of the number of boys and girls in a school is 2 : 5. If there was 350 students in the school, find the number of girls in the school.

The salaries of A,B,C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1:2:7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is ₹54, 000, find the income of Indian Railways from A.C. sleeper class.

What is the ratio whose terms differ by 40 and the measure of which is ²⁄₇?

A photograph measuring is to be enlarged so that the length will be 4 inch. How many inches will the enlarged breadth be?