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

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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