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:
ย
NORMAL METHOD
Take B : C = 5:8
= [2ร5] : [3ร5] : 24
Therefore the ratio A : B : C = 10 : 15 : 24
The first number, A can be determined as follows
A = [sum of numbers ร Aโs part] / [sum of ratios]
ย ย  = [98 ร 10] / [10+15+24]
ย ย  = 980 / 49
ThusA = 20
ย
ALTERNATE METHOD:
ย
The first number, A can be determined as follows
A = [sum of numbers ร Aโs part] / [sum of ratios]
Therefore 1st number, A = [98ร10] / 49
A = 20
ย

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