CAT Ratio and Partnership questions with solutions
Ratio, proportion and partnership problems. 17 questions from our 2016–2021 CAT pattern papers. Each has the answer and a full solution.
CAT 2021
CAT 2020
CAT 2019
- The monthly incomes of A and B are in the ratio 5 : 2. If each of them saves ₹4,000 a month, what is A's monthly income?
- B joins him after 4 months with ₹40,000, and C joins after 6 months (from the start) with ₹50,000. If the total profit at the end of the year is…
- A, B and C start a business with capitals in the ratio 3 : 4 : 5. After 4 months, A doubles his capital. After 8 months (from the start), C withdraws…
CAT 2018
- B joins after 3 months with ₹60,000 and C joins after 4 months with ₹90,000. What is C's share?
- The monthly salaries of A and B are in the ratio 3 : 5. If each receives an increment of Rs 4,000, the ratio becomes 5 : 7. What is B's original…
- A starts a business with Rs 30,000. B joins 4 months later with Rs 45,000, and C joins 9 months after the start with Rs 90,000. If the profit at the…
CAT 2017
- The monthly incomes of Asha and Bela are in the ratio 5 : 2. If each of them saves ₹1,600 per month, what is Asha's monthly income?
- Arun starts a business with ₹40,000. After 3 months Bala joins with ₹60,000, and after 6 months (from the start) Chitra joins with ₹80,000. What is…
- The ratio of the amounts with A and B is 3 : 4 and that of B and C is 6 : 7. If the three together have ₹1,750, how much does C have?
- After 4 months B joins with ₹60,000, and 6 months after the start C joins with ₹90,000. What is C's share of the profit (in ₹)?
CAT 2016
- The present ages of A and B are in the ratio 3 : 4. Eight years ago, the ratio of their ages was 5 : 7. What is the sum of their present ages (in…
- A, B and C start a business with investments of ₹20,000, ₹30,000 and ₹40,000 respectively. After 4 months A invests an additional ₹10,000, and after…
- The present ages of P and Q are in the ratio 5 : 7. Eight years from now the ratio will be 7 : 9. What is the sum of their present ages (in years)?
- A starts a business with Rs 45,000. B joins 3 months later with Rs 60,000, and C joins 6 months after the start with Rs 90,000. If the profit at the…
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13