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.