Ratio and Proportion Shortcuts – Download Type-III

Aptitude Shortcut methods and tricks for the problems related to Ratio and Proportion were given below. Candidates those who are preparing for Bank PO/Clerk and all other competitive Exams can also download this in PDF.

QUESTION

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The sum of three numbers is 98. If the ratio of the first to the second number is 2:3 and that of the second number to the third number is 5:8, then find the first number?
GIVEN
Sum of three numbers (A, B, C) = 98
A:B = 2:3
B:C = 5:8
SOLUTION:
 
NORMAL METHOD
Take B : C = 5:8
= [2×5] : [3×5] : 24
Therefore the ratio A : B : C = 10 : 15 : 24
The first number, A can be determined as follows
A = [sum of numbers × A’s part] / [sum of ratios]
   = [98 × 10] / [10+15+24]
   = 980 / 49
ThusA = 20
 
ALTERNATE METHOD:
 
The first number, A can be determined as follows
A = [sum of numbers × A’s part] / [sum of ratios]
Therefore 1st number, A = [98×10] / 49
A = 20
 

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