An algebra problem by Rohit Kanchi
Algebra
Level
pending
Three articles are sold for $1,890, $2,400 and $1,135 each.The first article is sold at 12.5% profit and the second at 20% profit. If on the whole a loss of 25/8% is made, find the cost price of the third article.
$1920
$1568
$1500
$3568
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1 solution
The 3 articles were sold for (in total):
$1890 + $2400 + $1135 = $5425
The 3 articles were bought for (total cost price):
( 1 0 0 − 8 2 5 ) % $ 5 4 2 5 = 0 . 9 6 8 7 5 $ 5 4 2 5 = $ 5 6 0 0
The first article was bought for (cost price):
( 1 0 0 + 1 2 . 5 ) % $ 1 8 9 0 = 1 . 1 2 5 $ 1 8 9 0 = $ 1 6 8 0
The second article was bought for (cost price):
( 1 0 0 + 2 0 ) % $ 2 4 0 0 = 1 . 2 $ 2 4 0 0 = $ 2 0 0 0
The third article was bought for (cost price):
$5600 - $1680 - $2000 = $1920