Math, asked by rugvedkulkarni2017el, 4 months ago

Amir expects a gain of 24% on his cost price. If in a week, his sale was of Rs. 620, what was his profit?

Answers

Answered by pulakmath007
17

SOLUTION

GIVEN

  • Amir expects a gain of 24% on his cost price

  • In a week, his sale was of Rs. 620,

TO DETERMINE

The profit

EVALUATION

Let C be the cost price

Here it is given that Amir expects a gain of 24% on his cost price

So the profit price

 =  \displaystyle \sf{C \times  \frac{24}{100} }

 =  \displaystyle \sf{ \frac{24C}{100} }

So the selling price

 = \displaystyle \sf{ C + \frac{24C}{100} }

 = \displaystyle \sf{  \frac{124C}{100} }

So by the given condition

 \displaystyle \sf{  \frac{124C}{100}  = 620}

 \implies \displaystyle \sf{  C = 620 \times  \frac{100}{124} }

 \implies \displaystyle \sf{  C = 5 \times 100 }

 \implies \displaystyle \sf{  C = 500 }

So the cost price = Rs 500

Now selling price = Rs 620

Hence the profit

= Rs ( 620 - 500 )

= Rs 120

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