NTSE Mathematics Commercial Mathematics Online Test Set B

1. Aditya obtains a loan of Rs. 64,000 against his fixed deposit. If the rate of interest is 2.5 paise per rupee per annum, calculate the compound interest payable after 3 years.

2. The population of a city increases at the rate of 4% per annum, but there is an additional annual increase of 1% in the population due to the flux of job seekers. The percentage increase of the population after 2 years is -

3. A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8 per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is :

4. A sum of money invested at compound interest amounts Rs. 10,890 in two years and Rs. 11,979 in three years. The sum invested is-

5. A person sold two almirah for Rs. 1980 each fetching equal amount. On one almirah he gained 10% while on the other he lost 10% In the bargain he

6. a, b, c are three positive integers 2s = a + b + c. If (s-a) : (s-b) : (s-c) = 1 : 7 : 4, then the ratio a : b : C is equal to =

7. if a sum becomesof itself in 5 years then the rate of interest is -

8. Ratio of the earning of A and B is 4 : 7. If earning of A increase by 50% and those of B decrease by 25% the new ratio of their earnings becomes 8 : 7. What are A's earnings ?

9. At compounds interest, if a certain sum of money doubles in 'n' number of years, then the amount will be four fold in

10. On selling an article for Rs. 240, trader losses 4%. In order to gain 10% he must sell that article for -

11. X's salary is half that of Y's. If X got a 50% rise in this salary and Y got 25% rise in his salary, then the percentage increase in combined salaries of both is

12. Four years ago father's age was 6 times that of his son. Twelve years from now, father's age will be twice that of the son. What is the present ratio of father and son's ages ?

13. p,q and r are three positive numbers and If (Q-p) : (Q-r) = 2 : 5 : 7, then find the ratio of p,q and r ?

14. If an amount is kept at S.I. It earns and interest of Rs. 600 is first two years but when kept at C.I.m it earns an interest of Rs. 660 in the same period. The rate of interest will be

15. Sheila purchases 20 kg apples at Rs. 15/kg and another 10 kg apples at Rs. 20/kg. What is the average cost per kilogram ?

16. If a selling price of Rs. 24 result in a 20% discount of the list price, the selling price that would result in a 30% discount of the list price is

17. A started a business by investing Rs. 8000. After x months B joined be business invested Rs. 12,000. If the profit earned is equal by both at the end of the year then find the value of x :

18. Khaki Board gave a discount of 20% on occasion of Gandhi Jayanti . It also give a extra discount of 15% to schools. If a teacher purchase a carpet marked at Rs. 1500 in the name of school then how much extra benefit he will get :

19. The population of a village in the year 2000 was 10,000. In the year 20012 & 2002 percentage increase in population was 5% & 10% respectively. The population of village in the year 2002 will be :

20. A watch is sold for Rs. Y at 10% loss. Cost price of the watch is :

21. A train, 700 meters long is running at the speed of 72 km/hour. If it crosses a tunnel in 1 minute, then the length of the tunnel is (in meters).

22. A man is traveling by car at the rate of 40 km/hr. After every 80 km, he rests for 20 min. How long will he take to cover a distance of 240 km ?

23. 30% of 28% of 480 is the same as

24. Two cars A and B having average speeds of 30 and 40 miles/hr respectively are 280 miles apart. They start moving toward each other at 3.00 P.M. At what time will they meet ?

25. In a camp of 100 students, there is ration which lasts for 8 days. After the first 2 days, 50 more students join them. How long will the ration last now ? (Assume all the students have equal eating capacity).

26. A takes 10 days less than the time taken by B to finish a piece of work. If both A both B together can finish the work in 12 days, the time taken by B to finish the work is :

27. A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the twice as large as the earlier work is -

28. If x men consume x kg of food in x days, then 'y' men will consume y kg of off din

29. A can do a job in 3 days, and B can do the same job in 6 days. How long will it take them if they work together ?

30. A works twice as fast a B. If B can complete a work in 12 days independently, then the number of days in which A and B and together finish the work is :