What percentage more are the number of jasmine flowers

Solution

ATQ, Let the number of Roses in garden 'A' and number of Jasmine in garden 'C' be '2x' and '3x', respectively. Let the number of Roses in Garden 'C' be '4y'. So, number of Jasmine flowers in garden 'B' = 1.25 X 4y = '5y' And, number of Roses in Garden 'B' = 0.60 X 5y = '3y' Also, number of jasmine flowers in garden 'A' = (2x + 8) ATQ, Total number of Flowers in garden 'A' = Total number of flowers in garden 'B' So, 2x + 8 + 2x = 5y + 3y Or, 8y - 4x = 8 So, 2y - x = 2 ........... (I) Also, 3x + 4y = 144 ............... (II) On multiplying equation (I) with 3 and adding equations (I) and (II), we have, 6y - 3x + 3x + 4y = 6 + 144 Or, 10y = 150 So, 'y' = 15 By putting value of 'y' in equation (I), we get, 'x' = 2 X 15 - 2 So, 'x' = 28 For Garden 'A'. Number of Rose flowers = '2x' = 2 X 28 = 56 Number of jasmine flowers = 2x + 8 = 56 + 8 =64 Total number of flowers = 56 + 64 =120 Similarly:    Required percentage = [(84 — 60)/60] × 100 = 40%