List of top Quantitative Ability and Data Interpretation Questions on Ratio and Proportion

In a small college, students are allowed to take only one specialization. Traditionally, only two specializations are offered: Science and Arts. Students enrolled to specialize in Science must take Physics and Mathematics subjects, while students enrolled to specialize in Arts must take Economics and Political Science subjects. Students enrolled in Science are not allowed to take either Economics or Political Science, while students enrolled in Arts are not allowed to take either Physics or Mathematics.
Recently, the college has started a third specialization called MatEco that requires students to take Economics and Mathematics. However, MatEco students would not be allowed to take either Physics or Political Science. When the college opens this new specialization for enrolment, it allows students, originally enrolled in Science or Arts, to switch to MatEco.
From among the students originally enrolled in Arts, 20 students switch to MatEco. This makes the number of Science students twice the number of Arts students. After this, from among the students who originally enrolled in Science, 45 students switch to MatEco. This makes the number of Arts students twice the number of Science students.
In total, how many students, from among those originally enrolled in Science or Arts, are now taking Economics?

Match List-l with List-ll

List I		List II
A.	Duplicate of ratio 2: 7	I.	25:30
B.	Compound ratio of 2: 7, 5:3 and 4:7	II.	4:49
C.	Ratio of 2: 7 is same as	III.	40:147
D.	Ratio of 5: 6 is same as	IV.	4:14

Choose the correct answer from the options given below:

(A) If \(\frac{1}{x}:\frac{1}{y}:\frac{1}{z}\) =2: 3: 5, then x:y:z = 15:10: 6
(B) If 4p = 6q = 9r then p:q:r = :9:6:4
(C) If 2A = 3B = 4C then A:B:C = 3:4:6
(D) P:Q:R = 2:3:4 then \(\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}\)=9:8:24
Choose the correct answer from the options given below:

Mr. Seth inherits 2505 gold coins and divides them among his three sons: Brij,Purab and Mohan in a certain ratio.Out of the total coins received by each of them,Brij sells 30 coins,Purab donates his 30 coins and Mohan looses 25 coins.Now,the ratio of gold coins with them is 46: 41: 34 respectively.How many coins did Purab receive from his father?

In a collection of coins, the ratio of the number of 2-rupee coins to 5-rupee coins to 1-rupee coins is 3:4:5. If the total value of these coins is ₹18.75, how much money is represented by the 5-rupee coins ?

Rubina could get equal number of Rs. 55, Rs. 85 and Rs. 105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy ?

Six– elevenths of a number is equal to twentytwo percent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is 2400. What is 45% of the first number ?

Separately, Jack and Sristi invested the same amount of money in the stock market. Jack’s invested amount kept getting reduced by 50% every month. Sristi's investment is also reduced every month, but in an arithmetic progression with a common difference of Rs. 15000. They both withdrew their respective amounts at the end of the sixth month. They observed that if they had withdrawn their respective amounts at the end of the fourth month, the ratio of their amounts would have been the same as the ratio after the sixth month. What amount of money was invested by Jack in the stock market?

The average age of three friends is 20 years and their ages are in the proportion 2:3:5, the age of the oldest friend is :

Sheela purchases two varieties of apples – A and B – for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio 5 : 8 but the cost per kg of A is 20% more than that of b. Sheela sells A and B with profits of 15% and 10% respectively. What is the overall profit in Rupees?

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :

The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period ?

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

When a bus started from a bus stop the ratio of male and female passengers was 4:1. At the first stop 16 male and 8 female passengers got down and 12 female passengers boarded the bus. The ratio of male and female passengers become 8:3. Find the number of passengers when the bus started.

Mohan has some money (₹M) that he divides in the ratio of 1:2. He then deposits the smaller amount in a savings scheme that offers a certain rate of interest, and the larger amount in another savings scheme that offers half of that rate of interest. Both interests compound yearly. At the end of two years, the total interest earned from the two savings schemes is ₹830. It is known that one of the interest rates is 10% and that Mohan deposited more than ₹1000 in each saving scheme at the start. What is the value of M?

Milk and water in two vessels A and B are in the ratios 4:3 and 2:3 respectively. In what ratio the liquids in both the plate should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water.

The number of students studying physics chemistry and zoology in a college were in the ratios of 4:3:5 respectively. If the number in these three disciplines increased by 50% 25% and 10% respectively, in the next year, then what was the new respective ratio ?

In June-2020, the ratio of boys to girls in a college was 3:2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7:5. What was the total number of students in the college in June-2020?

Ratio of the number of male employees to the total number of employees in a company is 5:8. If 200 female employees joined the company, then now the number of male employees in the company is 25% more than that of female employees, then find the number of female employees in the company finally?

X, Y and Z start a web-based venture together. X invests Rs. 2.5 lakhs, Y invests Rs. 3.5 lakhs, and Z invests Rs. 4 lakhs. In the first year, the venture makes a profit of Rs. 2 lakhs. A part of the profit is shared between Y and Z in the ratio of 2:3, and the remaining profit is divided among X, Y and Z in the ratio of their initial investments. The amount that Z receives is four times the amount that X receives. How much amount does Y receive?

Ratio of the income of A and B is 6:5 and the ratio of the savings of A and B is 3:1. If the expenditure of A and B is Rs.12000 and Rs.16000 respectively, then find the difference between the income of A and B?

Total number of students in class B is 25% less than that of class A and the ratio of the number of boys in class A and B is 5:4 respectively. If the number of girls in class A and B is 60 and 40 respectively, then find the total number of students in class A?

360 sweet boxes are distributed among A, B and C. If the ratio of the number of sweet boxes distributed to A and C is 12:11 and the number of sweet boxes distributed to B is 8.33% more than that of A, then find the difference between the number of sweet boxes distributed between B and C?

If x:y=2:3, the value of (3x+2y):(2x+5y) is:

Tom's salary is 150% of John's salary. John's salary is 80% of Steve's salary. What is the ratio of Steve's salary to Tom's salary?