Question

Divide ₹ 1380 among Raman Rohan and Rakhi so that the amount Raman receives is 5 times as much as Rakhi's and is 3 times as much as Rohan's share​

Answer 1

Let x, y ,z

x=5y,, y=x/5

x=3z,, z=x/3

so now,

x+x/5+x/3=1380

x=900

y=180

z=300

Answer 2

Answer:

Raman share = Rs 900

Rakhi share = Rs 180

Rohan share = Rs 300

Step-by-step explanation:

Given,

Total amount = Rs. 1380

Let Raman gets ' x ',

Rohan gets ' y '

Rakhi gets ' z ' share of the total amount

According to question,

x + y + z  = Total Amount

x + y + z = 1380.

Given,

Raman receives 5 times as much as Rakhi, that is,

x = 5 * y  

=> y = x / 5

Also it is given that,

He receives 3 times as much as Rohan's share , that is,

x = 3 * z  

=> z = x / 3

Substituting the values of y and z :

x + ( x/5 ) + ( x/3 ) = 1380

( 15x + 3x + 5x ) / 15 = 1380

23x / 15 = 1380

23x = 1380 * 15

23x = 20700

Dividing both sides by 23,

23x / 23 = 20700 / 23

x = 900

y = x / 5

= 900 / 5

= 180

z = x / 3

= 900 / 3

= 300

So,

x = 900 , y = 180, z = 300

Hence,

Raman share = Rs 900

Rakhi share = Rs 180

Rohan share = Rs 300