CAT QA RATIO AND PROPORTION QUESTIONS

Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of 5 : 3. If the total cultivation area of wheat and mustard are in the ratio 11 : 9, then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is

A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new solution had 50% acid concentration. When 15 litres of acid was further added to this new solution, the final solution had 80% acid concentration. The ratio of water and acid in the original solution was

A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3 : 2. The total number of unsold fruits is

The number of coins collected per week by two coin-collectors A and B are in the ratio 3 : 4. If the total number of coins collected by A in 5 weeks is a multiple of 7, and the total number of coins collected by B in 3 weeks is a multiple of 24, then the minimum possible number of coins collected by A in one week is

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. Then, the price of the original precious stone is

In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is

In a village, the ratio of number of males to females is 5 : 4. The ratio of number of literate males to literate females is 2 : 3. The ratio of the number of illiterate males to illiterate females is 4 : 3. If 3600 males in the village are literate, then the total number of females in the village is

One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects ₹ 1600 per month from each boarder. When the number of boarders is 50, the profit of the hostel is ₹ 200 per boarder, and when the number of boarders is 75, the profit of the hostel is ₹ 250 per boarder. When the number of boarders is 80, the total profit of the hostel, in INR, will be

A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different sizes is equal to 800. The prices of the smallest size and the medium size are in the ratio 2 : 5. If the shop owner decides to increase the prices of the smallest and the medium ones by INR 6 keeping the price of the largest size unchanged, the product then changes to 3200. The sum of the original prices of three different sizes, in INR, is

A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is

A mango's cost (in Rs.) is proportional to its weight's square root (in pounds). If a mango weighing 25 pounds costs Rs.120, how much will a mango costing Rs.96 weigh in pounds?

Total salary of A, B & C is Rs.8460. If they spend 70%, 85% & 60% of their salaries respectively then their savings are in the ratio 9 : 6 : 8. Find the salary of C?

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is

A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?

In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by

The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh's salary increased by 25% during 2010-2015, then the percentage increase in Rajesh's salary during this period is closest to

Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina's interest income exceeds Amala's by Rs 250?

In a group of 150 students Among the boys, the ratio of those who play football to basketball is 3:2, and among the girls, the ratio is 4:1. Each student plays only one game and the number of football players is 117times more than the number of basketball players. What is the positive difference between the number of girls who play basketball and boys who play football?

A and B invest Rs. 5000 and Rs. 7000 in a business. A receives Rs. 40 per month out of the profit as remuneration for running the business, and the rest of the profit is divided in proportion to the investment. In a year, A receives Rs. 1200. What does B receive?

The total salary of A, B, & C is Rs. 8000, and they spend 60%, 80%, & 90% of their salaries, respectively. The ratio of their savings is 8 : 6 : 5. Find the salary of C?

Anita is buying snacks for a picnic. She has just enough money to buy either 10 sandwiches, or 20 juice boxes, or 25 packets of chips. She sets aside 10% of her budget for transport. With the remaining money, she buys 5 sandwiches, m juice boxes, and n packets of chips. If m and n are both greater than 0, then find the value of (m + n).

The income amounts of P, Q, and R are in the ratio 2 : 4 : 5, and their savings amounts are in the ratio 1 : 3 : 5. Their incomes were later increased by 50%, 25%, and 20% respectively, while their expenditure amount remained the same. It is given that P initially spent 80% of his income, and Q's initial savings were ₹12,000. What is the ratio of their saving amount after the increase in their incomes?

Kabir, Ishan, and Mehul started a business by investing ₹30,000 each. After 4 months, Kabir withdrew ₹6,000 from his investment, Ishan added ₹6,000 more, while Mehul kept his investment unchanged. At the end of the year, the business earned a total profit of ₹19,800. What is the profit share (in ₹) of Ishan?

Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio

Ramakanth distributed 118 chocolates among his three students Alok, Biplab, and Charan. For every six chocolates received by Alok, Biplab received five chocolates. For every four chocolates received by Biplab, Charan received three chocolates. The number of chocolates received by Charan is

The age of A 5 years ago is 5/7th of the age of B 2 years hence and C is 14 years elder than B. If the sum of the present age of A, B, and C together is 129 years, then find the age of C, 12 years ago?

The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is

A and B together started a business and invested a total amount of Rs.12000, A invested Rs.3000 less than that of B The investment time period of A and B is x and y respectively. If the ratio of the profit share of B to A is 5:4, then find the minimum value of x + y.

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is

Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?

There are two villages ‘A’ and ‘B’. The number of males in village ‘B’ is 50% more than that in village ‘A’ and the number of females in village ‘B’ is 432 more than that in village ‘A’. If the number of males in village 'B' is increased by 20% and number of females in village ‘A’ is increased by 40%, then the total population of village ‘B’ and ‘A’ will become 2832 and 2144, respectively. Find the original number of males in village ‘B’.

If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is a possible value of (a + b + c)?

A varies inversely with the square root of B. When A is 21, B is 36. Find B when A is 9.

Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is:

The sum of the ages of a mom and Her Daughter is 45 years. Five years ago, the product of their ages was four times the mom's age at the time. Find the sum of their present ages.

Three friends Rahul, Three friends Rahul, Rohan, and Raman contribute a sum of Rs. 10800, Rs. 32400, and Rs. 54000 respectively towards a venture and agree to share the profits in such a way that the rate of return which each receives is in the same ratio of the amount of his contribution. If the profits for a year amount to Rs. 33320, then what is the share of Raman? 

A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio:

Ankit and Ritik invested Rs. (y+2500) and Rs. (y+4500) respectively in a partnership. If profit at the end of the year is Rs 6048 and value of Ritik’s share is Rs 2268, what is the value of y? (in rupees)

A and B started a business by investing Rs. 2400 and Rs. 2600, respectively. B left the business after a few months. At the end of twelve months, the ratio of the share of the profits received by A and B is 18:13 respectively. After how many months did B leave the business?