SOLUTION: 1)Shop keeper M sells some goods to N and makes a profit 15% N resells to p at a loss of 5%. If p pays dollar 13.11 how much did M pay for the goods 2) a profit 24% was made whe

Question 1150850: 1)Shop keeper M sells some goods to N and makes a profit 15% N resells to p at a loss of 5%. If p pays dollar 13.11 how much did M pay for the
goods
2) a profit 24% was made when a book was sold for dollar 34.10, find the selling price that would have given a profit 28%.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1)
Let,
the of the goods is
gets profit of %
% of :
selling price by:

cost price for is now
makes % loss :

selling price by

but the selling price is given :

cost price of the goods :

paid for buying the goods

2)
% =

let the cost price of the book be
% = of the cost price is
so,

then a profit % will be and the selling price will be

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
1)Shop keeper M sells some goods to N and makes a profit 15% N resells to p at a loss of 5%. If p pays dollar 13.11 how much did M pay for the
goods
2) a profit 24% was made when a book was sold for dollar 34.10, find the selling price that would have given a profit 28%.

1)
Let cost to M be C
After M sells the goods to N at a 15% profit, N paid (1 + .15)C = 1.15C
After N sells the goods to P at a 5% loss, P paid (1 - .05)1.15C = .95(1.15C) = 1.0925C
Since P paid $13.11, then we can say that: 1.0925C = 13.11
Cost to M, or
2)
After being sold at a 24% gain, for $34.10, a selling price (P) would yield a 28% profit by using the following PROPORTION:
1.24P = 1.28(34.1) ------- Cross-multiplying
Selling price in order to realize a 28% profit, or
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