text: Aptitude Chapter-11
  
  Bodhak competitive bank exam ratio proportion this tutorial is useful to prepare for Bank Exams, Groups Exams, Interviews of MNC & Exams like CRT, CAT, MAT, GRE, GATE  etc. in this chapter we will discuss RATIO AND PROPORTION. We will see how o solve through equations and through shortcut methods.
  
  RATIO AND PROPORTION:
  
  Ratio: The comparison of two similar quantities.
  
  Proportion: The equality of two ratios.
  
  A:B=C:D then D is forth proportion.
  
  A:B=B:C then C is third proportion.
  
  competitive bank exam ratio proportion
  
  A:B=C:D then D is called forth proportion.
  
  A:B=B:C then C is third proportion.
  
  The duplicate ratio of A, B is:  a^2: b^2
  
  The sub duplicate ratio of A,B is      :  sqrt(a) : sqrt(b)
  
  The mean proportion of A, B is: sqrt(ab)
  
  The triplicate ratio of a,b is:a^3: b^3
  
  The fourth proportional to 9,12,36  is?
  
  Solution:
  
  A:B  =C:D Then D is called fourth proportional
  
  A=9,  B=12,  C=36,  D=?
  
  9:12  =  36:D
  
  (9/12)=(36/D)=(1/12)=(4/D)
  
  D  =  12×4  =  48
  
  Find the third proportional to 8,20?
  
  Solution:
  
  A:B  =  B:C then C is called third proportional
  
  A=8,  B=20,  C=?
  
  8:20  =  20:C
  
  c=50
  
  Example:
  
  A sum of money is distributed among A,B,C, D in the proportion of 8:10:7:5. if A gets rs.1500 more then D then C Share is?
  
  Solution:
  
  A:B:C:D  =  8:10:7:5
  
  A=8, D=5
  
  8-5=1500
  
  3=1500
  
  1=500
  
  C=7  =  7×500  =  3500
  
  Example:
  
  Two numbers are in the ratio 1:2. If 7 is added to both the ratio 3:5. The lowest number is?
  
  Solution:
  
  Two numbers are in the 1:2
  
  So one number   =x
  
  another number   =2x
  
  Add 7 to both numbers
  
  (x+7)/(2x+7)=3/5
  
  5(x+7)  =  3(2x+7)
  
  5x+35  =  6x+21
  
  6x-5x  =  35-21
  
  X=14  2x  =  2X14  =  28     So lowest number is 14
explanation: The document is a tutorial on ratio and proportion, aimed at preparing students for competitive exams such as bank exams, CRT, CAT, MAT, GRE, GATE, etc. It includes definitions, formulas, and several solved examples. The text contains multiple questions and their corresponding answers.
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distilabel_metadata.content: Aptitude Chapter-11
  
  Bodhak competitive bank exam ratio proportion this tutorial is useful to prepare for Bank Exams, Groups Exams, Interviews of MNC & Exams like CRT, CAT, MAT, GRE, GATE  etc. in this chapter we will discuss RATIO AND PROPORTION. We will see how o solve through equations and through shortcut methods.
  
  RATIO AND PROPORTION:
  
  Ratio: The comparison of two similar quantities.
  
  Proportion: The equality of two ratios.
  
  A:B=C:D then D is forth proportion.
  
  A:B=B:C then C is third proportion.
  
  competitive bank exam ratio proportion
  
  A:B=C:D then D is called forth proportion.
  
  A:B=B:C then C is third proportion.
  
  The duplicate ratio of A, B is:  a^2: b^2
  
  The sub duplicate ratio of A,B is      :  sqrt(a) : sqrt(b)
  
  The mean proportion of A, B is: sqrt(ab)
  
  The triplicate ratio of a,b is:a^3: b^3
  
  The fourth proportional to 9,12,36  is?
  
  Solution:
  
  A:B  =C:D Then D is called fourth proportional
  
  A=9,  B=12,  C=36,  D=?
  
  9:12  =  36:D
  
  (9/12)=(36/D)=(1/12)=(4/D)
  
  D  =  12×4  =  48
  
  Find the third proportional to 8,20?
  
  Solution:
  
  A:B  =  B:C then C is called third proportional
  
  A=8,  B=20,  C=?
  
  8:20  =  20:C
  
  c=50
  
  Example:
  
  A sum of money is distributed among A,B,C, D in the proportion of 8:10:7:5. if A gets rs.1500 more then D then C Share is?
  
  Solution:
  
  A:B:C:D  =  8:10:7:5
  
  A=8, D=5
  
  8-5=1500
  
  3=1500
  
  1=500
  
  C=7  =  7×500  =  3500
  
  Example:
  
  Two numbers are in the ratio 1:2. If 7 is added to both the ratio 3:5. The lowest number is?
  
  Solution:
  
  Two numbers are in the 1:2
  
  So one number   =x
  
  another number   =2x
  
  Add 7 to both numbers
  
  (x+7)/(2x+7)=3/5
  
  5(x+7)  =  3(2x+7)
  
  5x+35  =  6x+21
  
  6x-5x  =  35-21
  
  X=14  2x  =  2X14  =  28     So lowest number is 14
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a tutorial on ratio and proportion, aimed at preparing students for competitive exams such as bank exams, CRT, CAT, MAT, GRE, GATE, etc. It includes definitions, formulas, and several solved examples. The text contains multiple questions and their corresponding answers.
  
  Label: multiple-question-and-answer