Question

A shopkeeper offers 12% discount to the customers and still makes a profit of 20% what is the actual cost of an article marked rupees 600

Answer 1

Solutions :-

Given :
Marked price of an article = Rs 600
Discount = 12%


Find the Selling price of an article :-

S.P = M.P - discount % of M.P
= 600 - 12% of 600
= 600 - 0.12 × 600
= 600 - 72
= 528


Find the cost price of an article at the profit of 20% :-

C.P = (S.P × 100)/(100 + Profit)
= (528 × 100)/(100 + 20)
= 52800/120
= 440


Hence,
The actual cost of an article = Rs 440

Answer 2

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Dear ,

Your Answer is ; ₹440

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Step by Step Explanation ;-
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Given ;-
• Article's Marked Price = ₹ 600
• With the Discount = 12%

Now ,
Finding the Selling Price of the Article ;-

We know that ;-
• SP = Marked Price ( MP ) - Discount % given on MP.

So ,

=> 600 - 12% of 600

=> 600 - 12/100 × 600

=> 600 - 72

=> ₹ 528.

Now ,
Finding the cost price of the Article with the profit of 20% ;-

We know that ;-
• CP = { SP × 100} ÷ { 100 + Profit }

So ,

=> { 528 × 100 } ÷ { 100 + 20 }

=> ₹440

Therefore ,
₹440 is the original price of the Article.

__________________________

- Regards
@ItsDmohit