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AA and BB start a partnership with capitals of \8000andand\1200012000 respectively. After 4 months, AA withdraws \2000andandBaddsadds\40004000. If the total profit at year-end is \9000,whatis, what isB$'s share?

AA and BB start a partnership with capitals of \8000andand\1200012000 respectively. After 4 months, AA withdraws \2000andandBaddsadds\40004000. If the total profit at year-end is \9000,whatis, what isB$'s share?

  1. \6187.50$

  2. \5625$

  3. \6750$

  4. \4500$

Show answer & explanation

Correct answer

\6187.50$

Explanation

Effective capital-time: A=8000×4+(8000−2000)×8=32000+48000=80000A = 8000 \times 4 + (8000-2000) \times 8 = 32000 + 48000 = 80000; B=12000×4+(12000+4000)×8=48000+128000=176000B = 12000 \times 4 + (12000+4000) \times 8 = 48000 + 128000 = 176000. Ratio A:B=80000:176000=5:11A:B = 80000:176000 = 5:11. Total parts =16=16, BB's share =9000×11/16=6187.5= 9000 \times 11/16 = 6187.5.

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All 30 Ratio and proportion questions

  1. 1.What is the ratio of 20 to 25 in its simplest form?
  2. 2.If a:b = 3:4 and b:c = 8:9 , what is the compounded ratio a:b:c ?
  3. 3.What is the duplicate ratio of 2:3 ?
  4. 4.Find the mean proportional between 4 and 16.
  5. 5.If x:y = 5:7 , what is the inverse ratio of x:y ?
  6. 6.If a:b = 2:5 and c:d = 10:3 , what is the compounded ratio of a:b and c:d ?
  7. 7.What is the fourth proportional to 2, 5, 4 ?
  8. 8.If a:b = c:d and a=6, b=8, c=9 , find d using cross multiplication.
  9. 9.Given a:b = 3:2 , apply the Componendo rule to find (a+b):b .
  10. 10.What is the third proportional to 4 and 6 ?
  11. 11.The ages of A and B are in the ratio 5:7 .
  12. 12.Two numbers are in the ratio 3:5 .
  13. 13.If a:b = 2:3 , b:c = 4:5 , and c:d = 6:7 , find a:d .
  14. 14.The ratio of incomes of X and Y is 5:4 and the ratio of their expenditures is 7:5 .
  15. 15.A mixture contains milk and water in the ratio 5:3 .
  16. 16.Using Componendo-Dividendo, if a+b/a-b = 5/3 , find a:b .
  17. 17.What is the third proportional to 12 and 18 ?
  18. 18.A sum of \ 1200 is divided among A, B, and C in the ratio 2:3:5$.
  19. 19.If x/y = 4/5 , find the value of 2x+3y/3x-2y .
  20. 20.Two partners A and B invest \ 5000 and \ 8000 in a business.
  21. 21.The ratio of incomes of X and Y is 7:5 .
  22. 22.A bag contains coins of denominations \ 1 , \ 0.50 , and \ 0.25 in the ratio 3:4:5 .
  23. 23.If y varies directly as x^2 and inversely as z , and y=12 when x=2 and z=3 , find y when x=4 and z=6 .
  24. 24.The present ages of A and B are in the ratio 5:6 .
  25. 25.A and B start a partnership with capitals of \ 8000 and \ 12000 respectively.
  26. 26.In a mixture of 60 liters, milk and water are in the ratio 2:1 .
  27. 27.A vessel contains 20 liters of pure milk.
  28. 28.A and B enter into a partnership with capitals in the ratio 3:5 .
  29. 29.If a/b = 3/4 , b/c = 5/6 , and c/d = 7/8 , find a:d .
  30. 30.A vessel contains 40 liters of a mixture of milk and water in the ratio 5:3 .