In a business, A invested 3 1/2 times more than B. They wanted to include C by taking an amount of Rs2500 from C. How should that amount be divided among A and B such that three of them get the same interest?

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pkoshti

  • Feb 17th, 2007
 

Let B get x amount from 2500;

Therefore A get 3.5x amount from Rs.2500

Therefore x+3.5x=4.5x=2500

Therefore x=2500/4.5

x=555.5

Therefore B will get Rs.555.5 amount out of Rs.2500

And A will get 2500-555.5=944.5 RS.

This is sufficient but answer according to question but as they have to get equal interest their investment should be equal so lets try following....

Let B have invested Rs.500 

then investment of A will be 3.5*500=1750.

Now they told investment of c is 2500

so new investment of B =500+x=500+555.5=1055.5

new investment of A will be 1750+944.5=2694.5.

Average =(1055+2694.5)/3 As 2500 is already divided into these two

1249.8333

If like this their investment's distributed will be done means if everyone have invested 1249.8333 then only they will get equal amount of interest.

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1433.33


Suppose B invested 400 rupees.
Then A's investment is 1400 rupees (3 and hlf times greater)

Now 2500 should be separated among three so that all the three has same amount.

Put 1000 from C to B.
Now C = 1500
B= 1400
A= 1400

Now divide the excess 100 in C to all the three..

this gives 1433.33 rupees.

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