Question

A shopkeeper buys goods at 4÷5 of its marked price and sells them at 7÷5 of the marked price find his profit percentage

Answer 1

Answer:

Step-by-step explanation: Let the list price be Rs. 'x' 

Cost price = 25 % off on the list price

That will be 75 % of the list price 

= (75*x)/100

= 3x/4

The profit is 25 % on the selling price.

So, selling price = 125 % of the cost price.

= (125/100)*(3x/4)

= 15x/16

Let the marked price be Rs 'y'

If the merchant gives 20 % discount,

Then 80 % of marked price = Selling price

⇒ (80y/100) = 15x/16

After cross multiplying, we get.

1280y = 1500x

y = 1500x/1280

y = 75x/64

The percentage of the list price at which the merchant marks the goods =

(Marked Price - List Price)*100/List Price

⇒ (75x/64 - x/1)*100/x

Taking the L.C.M. of the denominators (64 and 1) and solving it, we get.

⇒ (11x*100)/64/x

⇒ (11x100/64)*(1/x)

⇒ 1100x/64x

⇒ 1100/64

= 17.1875 %

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