NTSE Mathematics Commercial Mathematics Online Test Set E

1. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times and heavy as water ?

2. What must be added to each term of 4 : 9, so that it becomes 2 : 3

3. A and B enter into partnership for a year. A contributes Rs. 1500 and B Rs. 2000. After 4 months, they admit C, who contributes Rs. 2250. If B withdraws his contribution after 9 months, how would they share a profit of Rs. 900 at the end of year.

4. In a partnership, A invested 1/6 of the capital for 1/6 of the time, B invested 1/3 fo the capital for 1/3 of the time and C invested the rest of the capital for the whole period. At the end of the period, they earned a profit or Rs. 4600. Find the share of B.

5. A and B invested in the ratio 3 : 2 is business. If 5% of the total profit goes to charity and AÕs share is Rs. 855, find the total profit.

6. A began business with Rs. 4200 and is joined by B afterwards with Rs. 7200 ? For what period did B join if the profits at the end of the year are divided equally.

7. If x : y = 2 : 3 then find the value of (y³ - x³) : (y³ + x³)

8. A sum of money is divided among A, B and C such that for each Rs. 2, A gets Rs. 1, gets 65 paise and C gets 35 paise. If C's share is Rs. 560, then find the sum.

9. The ages of A and B are in the ratio 9 : 4. After 7 years the ratio will be 5 : 3. The present ages of A and B respectively are

10. In a mixture of 80 L, milk and water are in the ratio 5 : 3. If 16 L of this mixture is replaced by 16 L of milk, the ratio of milk and water becomes

11. Goods are purchased for Rs. 450 and one-third of it is sold at a loss of 10%. At what profit percentage should the remainder be sold so as to gain 20% on the whole transaction ?

12. In a mixture of 100 L. the ratio of milk and water is 3 : 1. If the ratio of water and milk has to be 1 : 3, how much water is to be added ?

13. Some quantity of tea worth Rs. 30.20 per kilogram is to be mixed some quantity of tea worth Rs. 20.50 per kilogram so that the mixture is worth Rs. 25.40 per kilogram. The ratio of the quantity of tea of the first kind to that of the second king in the mixture should be

14. Two kinds of quantity mixed in the ratio 2 : 3 and sold at Rs. 22 per kilogram, resulting in a profit of 10%. If the smaller quantity costs Rs. 14 per kilogram, them the cost per kilogram of the larger quantity is

15. Two alloys containing copper and iron in the ratio 5 : 8 and 5 : 3 are melted in equal quantities. Find the ratio of iron and copper is the resulting alloy.

16. The proportion in which to kinds of tea, one costing Rs. 44 and other costing Rs. 39 should be mixed so that the mixture can be sold at Rs. 42 is

17. The salaries of A, B and C together amounts or Rs. 333. If they spends 80%, 85% and 75% of their respective salaries. If their savings are 7 : 6 : 9, then their respective salaries are

18. A & B together started a business, subscribing Rs. 10,000 & 15000 respectively. B being a sleeping partner. A manages the business and receives 10% of profits for his extra labour & remainder is divided by them. Find the share of 'A' if total profit is Rs. 2300.

19. 4 milkmen rented a pasture. A grazed his 12 cows for 6 months, B 10 cows for 5 months, C 14 cows for 10 months and D 9 cows for 7 months. If A's share of rent is Rs. 36, find the amount paid as rent by C & D.

20. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship ?

21. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times and heavy as water ?

22. The ratio between two numbers i 3 : 4 and their L.C.M. is 180. The first number is :

23. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57/ What is SumitÕs present salary ?