Math, asked by anvisingh31, 8 months ago

a shopkeeper offers his costumers 10% discount and still makes a profit of 26%. what is the actual cost to him of an article marked rs. 280?

Answers

Answered by TheProphet
10

S O L U T I O N :

\underline{\bf{Given\::}}

  • Marked price, (M.P) = Rs.280
  • Discount, (D) = 10%
  • Profit = 26%

\underline{\bf{Explanation\::}}

Using formula of the discount when given MP;

\boxed{\bf{Discount =\bigg( \frac{Discount\:\%}{100}\bigg) \times M.P}}

A/q

\mapsto\tt{Discount = \bigg(\dfrac{\cancel{10}}{\cancel{100}} \bigg)\times 28\cancel{0}}

\mapsto\tt{Discount = Rs.(1\times 28)}

\mapsto\bf{Discount = Rs.28}

&

→ Selling price = Marked price - Discount

→ Selling price = Rs.280 - Rs.28

→ Selling price = 252

Now, using formula of the Selling price when get profit;

\boxed{\bf{Selling\:price = \bigg(\frac{100+ profit\%}{100} \bigg)\times C.P}}

\mapsto\tt{252 = \bigg(\dfrac{100+26}{100} \bigg)\times C.P.}

\mapsto\tt{252 = \dfrac{126}{100}\times C.P.}

\mapsto\tt{252 = \dfrac{126\:C.P.}{100}}

\mapsto\tt{252 \times 100 = 126\:C.P.}

\mapsto\tt{25200 = 126\:C.P.}

\mapsto\tt{C.P. = \cancel{25200/126}}

\mapsto\bf{C.P. = Rs.200}

Thus,

The actual cost price pay will be Rs.200 .

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