Aptitude Day 74

Ratio and Proportion:

1.  A bag contains 50p, 25p and 10p coins in the ratio 3:10:18, amounting to Rs. 58. Find the number of coins of each type.

Solution:
                Let the number of 50p, 25p and 10p coins be 3x, 10x and 18x respectively.

                3x/2 + 10x/4 + 18x/10 = 58      [  1 Re = 2 (50p) = 4 (25p) = 10 (10p) ]

                30x + 50x + 36x = 58 *20
                116x = 58*20
                x = 1160/116
                x = 10.

                The number of 50p, 25p and 10p coins are 3x = 30, 10x = 100 and 18x = 180 respectively.
             
2. If 30%  of x = 50% of y, then x:y is:

Solution:
                30x/100 = 50y/100
                x/y = (50/100) * (100/30)
                      = 5/3
               The ratio is 5:3.