Ratio and Proportions-Aptitude





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1. If A : B = a : b and B : C = p : q, then A : C is equal to


2. Rs. 16000 are to be distributed between B and A such that B gets Rs 4000 less than A The ratio of the amount received by A to that received by B is


3. The mean proportion between 72 and 128 is


4. A sum of Rs 2000 is divided into two parts such that one part is invested at 10 % pa, simple interest and the second part at 15% pa, simple interest. After 2 years, if Rs. 460 are received as interest, then the ration of investments of first and second part is


5. Two cones have their heights in the ratio 1 : 3 and the radii of their bases are in the ratio 3 : 1. The ratio of their volume is


6. If a carton containing a dozen glass is dropped, which of the following cannot be the ratio of unbroken glasses to broken glasses


7. The annual salary of A, B, C is in the proportion of 3 : 4 : 5. If C's annual salary is Rs 80000 more than that of A, then B's monthly salary is


8. Rs 5625 is divided among A,B and C so that A may received 1 / 2 as much as B and C together receive and B received 1 / 4 of what A and C together receive. The share of A is more than that of B by


9. The students of three classes are in the ratio 3 : 4 : 5. If 15 students are increased in each class, then ratio changes to 6 : 7 : 8. The total number of students before the increase was


10. A sum of money is divided among A,B, C so that to each rupee A gets , B gets 75 paise and C gets 45 paise. If C's share is Rs. 81, the sum is


11. A and B are two alloys of gold and copper prepared by mixing metals in the proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, proportion of gold and copper in C will be



12. If two spheres have their radii in the ratio 2 :3, then ratio of their volumes is


13. A bag contains 50 paise, 1 rupee and 2 rupee coins in the ratio 2 : 3 : 4. If the total amount is Rs.240, what is the total number of coins?


14. Salaries of Akash, Bahu and Chintu are in the ratio of 2 : 3 : 5. If their salaries are increased by 15 % ,10% and 20% respectively, then what will be the new ratio of their salaries?


15. A sum of money is to be divided equally among P, Q and R in the respective ratio of 5 : 6 : 7 and another sum of money is to be divided between S and T equally. If S got Rs. 2100 less than P, then how much amount did Q receive?