Ratio & Proportion, Partnership Date :8-2-2018

1. / A sum of money is to be distributed amongA,B,C,Din the proportion of 5:2:4:3. IfCgets Rs. 1000 more thanD, what isB's share?
A. / Rs. 500
B. / Rs. 1500
C. / Rs. 2000
D. / None
2. / AandBtogether have Rs. 1210. If(dfrac{4}{15})ofA's amount is equal to(dfrac{2}{5})ofB's amount,how much amount doesBhave?
A. / Rs 460
B. / Rs 484
C. / Rs 550
D. / Rs 664
3. / A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs.2.40 the number of girls is
A. / 35
B. / 40
C. / 45
D. / 50
4. / In a mixture 60 litres, the ratio of milk and water2:1.If the this ratio is to be1:2, then the quantity of water to be further added is:
A. / 20 litres
B. / 30 litres
C. / 40 litres
D. / 60 litres
5. / Two numbers are respectively20and50more than a third number. The ratio of the two numbers is:
A. / 2:5
B. / 3:5
C. / 4:5
D. / 5:4
6. / Seats for Mathematics, Physics and Biology in a school are in the ratio5:7:8. There is a proposal to increase these seats by40,50and75respectively. What will be the ratio of increased seats?
A. / 2:3:4
B. / 6:7:8
C. / 6:8:9
D. / None
7. / A sum of Rs. 36.90 is made up of 180 coins which are either 10 paise coins or 25 p coins. The number of 10 p coins is:
A. / 48
B. / 54
C. / 56
D. / 60
8. / The salaries A, B, C are in the ratio2:3:5. If the increments of15,10and20are allowed respectively in their salaries, then what will be new ratio of their salaries?
A. / 3:3:10
B. / 10:11:20
C. / 23:33:60
D. / Cannot be determined
9. / The ratio of the number of boys and girls in a college is7:8. If the percentage increase in the number of boys and girls be20and10respectively, what will be the new ratio?
A. / 8:9
B. / 17:18
C. / 21:22
D. / Cannot be determined
10. / If40of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A. / 2:5
B. / 3:7
C. / 7:3
D. / 5:3
11. / Salaries of Ravi and Sumit are in the ratio2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes40:57. What is Sumit's salary?
A. / Rs. 17,000
B. / Rs. 20,000
C. / Rs. 34,000
D. / Rs. 38,000
12. / If0.75:x::5:8,thenxis equal to:
A. / 1.12
B. / 1.20
C. / 1.25
D. / 1.30
13. / The sum of three numbers is 98. If the ratio of the first to second is2:3and that of the second to the third is5:8, then the second number is:
A. / 20
B. / 30
C. / 48
D. / 58
14. / If Rs. 782 be divided into three parts, proportional to(dfrac{1}{2}:dfrac{2}{3}:dfrac{3}{4})then the first part is:
A. / Rs. 182
B. / Rs. 190
C. / Rs. 196
D. / Rs. 204
15. / Two alloysAandBare composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are5:3and1:2, respectively. A new alloyXis formed by mixing the two alloysAandBin the ratio4:3. What is the ratio of the composition of the two basic elements in alloyX?
A. / 1:1
B. / 2:3
C. / 5:2
D. / 4:3
16. / PointsAandBare both in the line segmentPQand on the same side of its midpoint.AdividesPQin the ratio2:3, andBdividesPQin the ratio3:4. IfAB=2, then the length ofPQis:
A. / 70
B. / 75
C. / 80
D. / 85
17. / Three beakers have capacity of 250ml, 650ml and 200ml. 682 ml of Juice is poured into them so that the same fraction of each is filled. The volume filled in the largest beaker will be:
A. / 415 ml
B. / 403 ml
C. / 400 ml
D. / 424 ml
18. / The total surface area of a solid iron cube and a solid aluminium cuboid are the same. The length, breadth and height of the cuboid are in the ratio1:2:4. Both are melted together in a vessel. What is the ratio of iron and aluminium in the resultant mixture?
A. / (14/3)3/2:8
B. / 8:(14/3)3/2
C. / (3/14)3/2:8
D. / 8:(3/14)3/2
19. / The monthly salaries of two persons are in the ratio of4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to3:5. Find their respective salaries.
A. / 120 and210
B. / 80 and140
C. / 180 and300
D. / 200 and350
20. / Shyam, Gopal and Madhur are three partners in a business. Their capitals are respectively Rs 4,000, Rs 8,000 and Rs 6,000. Shyam gets20of total profit for managing the business. The remaining profit is divided among the three in the ratio of their capitals. At the end of the year, the profit of Shyam is Rs 2200 less than the sum of the profit of Gopal and Madhur. How much profit, Madhur will get?
A. / Rs 1600
B. / Rs 2400
C. / Rs 3000
D. / Rs 5000
21. Jayant started a business, investing Rs. 6000. Six months later madhu joined him, investing Rs. 4000, If they made a profit of Rs. 5200 at the end of the year, how much must be the share of Madhu?
  1. Rs. 2080

  1. Rs.1300

  1. Rs.1800

  1. Rs. 2600

22. A and B invest in business in the ratio 3 :2. If the 5% of the total profit goes to charity and A?s share is Rs. 855, total profit is:
  1. Rs.1576

  1. Rs. 1537.50

  1. Rs.1500

  1. Rs.1425

23. A, B and c invest Rs. 2000, Rs.3000 and Rs. 4000 in a business, After one year, A removed his money but B and C continued for one more year. If the net profit after 2 years be Rs.3200, them A?s share in the Profit is:
  1. Rs. 1000

  1. Rs. 600

  1. Rs. 800

  1. Rs. 400

24. A, B and C start a business, A investes 3 times as much as B invests and B invests tow-third of what C invests. Then the ratio of capitals of A, B and C is:
  1. 3:9:2

  1. 6:10:15

  1. 5:3:2

  1. 6:2:3

25. A, B, C enter into a partnership with shares in the ratio . After 4 months , A increases his share by 50% If the total profit at the end of one year be Rs. 21600, the B’ s share in the profit is:
  1. Rs. 2100

  1. Rs. 2400

  1. Rs. 3600

  1. Rs. 4000

26. Rs. 700 is divided among A, B and C so that a receives half as much as B and B half as much as C, Then C’s share is:
  1. Rs.200

  1. Rs.300

  1. Rs.400

  1. Rs. 600

27. Jagmohan, Rooplal and Pandeyji rented a video cassette for one week at rent of Rs. 350, If the use it for 6 hours, 10 hours, and 12 hours respectively, the rent to be paid by Pandeyji is :
  1. Rs.75

  1. Rs.125

  1. Rs.135

  1. Rs.150

28. A and B start a business with initial investments in the ratio 12 : 11 and their annual profits were in the ratio 4 :1. If A invested the money for 11 months, B invested the money for:
  1. 3 months

  1. 5 months

  1. 4 months

  1. 6 months

29. Kanti started a business investing Rs. 9000, Five months later sudhakar joined him by investing Rs. 8000. If they make a profit of Rs. 6970 at the end of year, Sudhakar’s share of profit is:
  1. Rs. 3690

  1. Rs.1883.78

  1. Rs. 2380

  1. Rs. 3864

30.A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

  1. 4 months

  1. 5 months

  1. 6 months

  1. 8 months