Question

shop keeper M sells some goods to N and makes a profit of 15%. N resells to p at a loss of 5%. If p pays $13.11 how much did M pay for the goods?

Answer 1

let,

the CP of the goods is :

100x

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m gets profit of 15 %

$15 \: \% \: of \: cp \: \\ \\ \frac{15}{100} \times 100x \\ \\ 15x$

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selling price by m :

CP + profit

100x + 15x

115x

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cost price for n is now :

115 x

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n makes 5% loss :

$\frac{5}{100} \times 115x \\ \\ \frac{575 \: x}{100} \\ \\ 5.75 \: x$

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selling price by n :

cost price - loss

115x - 5.75x

109.25 x

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but the selling price is given :

13.11 rs = 109.25 x

$x = \frac{13.11}{109.25} \\ \\ 0.12 \: rs$

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cost price of the goods :

100x

100 * 0.12

$\bold{12 \: rs}$

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$\bold{m \: paid\: rs\: 12\:for \:buying\: the\:goods}$

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