Question

divide ₹370 into three parts that second !part is 1/4 of the third part and the ratio between the first and third part is 3:5.find each part

Answer 1

Let first and third parts be 3x and 5x (the ratio is 3:5)
Given that second part is (1/4) of third part
Therefore second part = 5x/4
Now
Sum of all three parts = ₹370
3x + (5x/4) + 5x = 370
(12x + 5x + 20x)/4 = 370
37x/4 = 370
Dividing whole equation by 37
x/4 = 10
x = 40
Therefore
First Part = 3x = ₹120
Third Part = 5x = ₹200
Second part = 5x/4 = ₹50

Answer 2

Answer:

Step-by-step explanation:

Let first and third parts be 3x and 5x (the ratio is 3:5)

Given that second part is (1/4) of third part

Therefore second part = 5x/4

Now

Sum of all three parts = ₹370

3x + (5x/4) + 5x = 370

(12x + 5x + 20x)/4 = 370

37x/4 = 370

Dividing whole equation by 37

x/4 = 10

x = 40

Therefore

First Part = 3x = ₹120

Third Part = 5x = ₹200

Second part = 5x/4 = ₹50