Thursday, April 1, 2010

Percentage P6 A001

Anthony, Bala and Caleb had some money. Bala gave $190 to Caleb. He then received 3/13 of Anthony's money. Caleb then received 20% of Anthony's money. In the end, 1/7 of Anthony's money was given to Bala. Each of them had $1200 finally. How much did Bala and Caleb have altogether at first?


     A            B             C
----------------------------------
  13 u           ?             ?
               - $190     + $190
 - 3 u        + 3 u
----------------------------------
  10 u           ?             ?
 - 2 u                      + 2 u
----------------------------------
   8 u            ?
- 8/7 u    + 8/7 u         
----------------------------------
6 6/7 u
----------------------------------
$1200      $1200       $1200
----------------------------------

6 6/7 u -- > $1200

1 u -- > 7/48 x 1200 = 175

13 u -- > 13 x 175 = 2275

1200 x 3 = 3600

3600 - 2275 = $1325


Bala and Celeb had $1325 altogether at first.

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