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Question

A certain amount has been divided into two parts in the ratio 4:7 if the first part is rs 600 find a)  the second part b) total amount


Solution

 
It is divided into ratio 4:7 
We know ratio = first part/second part.

while taking ratio, common factor is cancelled. So, let common factor be x. 

So, now ratio is 4x / 7x.
First part = 4x 
Second part = 7x 
Given, first part = 600
So, 4x= 600
x= 600/4=150 
Second part = 7x=7×150=1050.
Total amount = 4x+7x=11x=11×150=1650.

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