Question

If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is:
A.Rs. 182
B.Rs. 190
C.Rs. 196
D.Rs. 204

Answer 1

Answer:

204

Step-by-step explanation:  

Let given rupes is = x

let x be divided into three parts

given proportional is

                               = (1/2) : (2/3) : (3/4)        

Now , take the LCM of denominator 2,3,4 which is 12 and multiply it on each proportional. Then we get,

                               =  6 : 4 : 9

now , 1st part is = 6x

         2nd part is = 4x

        3rd part is = 9x

But given that,

        1st+2nd+3rd = 782

        6x+4x+9x = 782

              23x    =  782

                    x   = 34

so 1st part of 782 is = 6*34 = 204