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Aptitude Day 87


Ratio and Proportion:

 1. If 60% of a number is equal to one-fourth of another number, what’s the ratio of first number to the  second number?

Solution:
                 Let the 2 numbers be x and y.
                 (60/100)x = (1/4)y
                 x/y = 5/12

               The ratio is 5:12.

2. What least number must be subtracted from each of the numbers 9, 11, 16 and 5 so that the remainders may be proportional?

Solution:
                Let the least number be x.
               (9-x)/(11-x) = (6-x)/(5-x)
               (9-x)(5-x) = (6-x)(11-x)
               45-9x-5x+x2 = 66-6x-11x+x2
               3x = 21
               x = 7.

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