Question

In maa yatri temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio of 4:5, while the weight of an orange is 150gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets

Answer 1

Answer:

The ratio of banana, orange and grape is 20:25:4, in terms of weight

Step-by-step explanation:

Weight of grape = 24 gm

Weight of orange = 150 gm

Ratio of weight of banana: weight of orange = 4:5

Let weight of banana = "b"

=> b:150 = 4:5

=> b/150 = 4/5

=> b = (150 * 4)/5

=> b = 120

Weight of banana = 120 gm

Ratio of weight of banana, organe and grape is:

= 120:150:24

= 20:25:4 .......(after dividing by HCF of 120, 150 and 24, which is  6)

Answer 2

Step-by-step explanation:

bananas:oranges:grapes = 3:2:7

Weight of a grape = 24gm

weight of banana : weight of orange = 4:5

let them be 4x and 5x

also, weight of orange = 150gm

so, 5x=150

x=30

weight of banana = 4x = 4*30 =120gm

Required ratio of three fruits in terms of weight an orphan gets = 3*120 : 2*150 : 7*24

360 : 300 : 168

180 : 150 : 84

90 : 75 : 42

final answer = 30 : 25 : 14