divide Rs.1380 among Raman,Rohan and Rakhi so that the amount Raman receives , is 5 times as much as Rakhi`s share and is 3 times as much as Rohan`s share
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Answer
Step-by-step explanation:
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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