Question

the Marked price of a book is rupees 360 the dealer offers a discount of 10% and still makes a profit of 20% find its selling price and cost price ​

Answer 1

Solution :

The marked price of a book is Rs. 360

It is offered by the dealer at a discount of 10% while he still makes a profit of 20%

We have to find the selling price and cost price respectively of that book.

The selling price of the book is the price at which it's offered by the dealer.

So, the selling price is 90% of marked price

90% of 360

>> (9 × 36)

>> Rs. 324

He still makes a profit of 20%

Suppose that the cost price is x inr

>> 120% of x = 324

>> x = 324 × 100/120

>> 81 × 10/3

>> Rs 270

Answer : The selling price and the cost price of the book are Rs. 324 and Rs. 270 respectively.

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Answer 2

Given :-

the Marked price of a book is rupees 360 the dealer offers a discount of 10% and still makes a profit of 20%

To Find :-

SP and CP

Solution :-

We know that

SP = MP(100 - D%)/100

SP = 360(100 - 10)/100

SP = 360 × 90/100

SP = 36 × 9

SP = 324

Now,

Finding CP

Let,

CP = x

We have

SP = 324

Profit% = 20%

We know that

Profit = SP - CP

Profit = (324 - x)

Now

Profit% = Profit/CP × 100

20 = (324 - x)/x × 100

20 × x = 100(324 - x)

20x = 32400 - 100x

20x + 100x = 32400

120x = 32400

x = 32400/120

x = 3240/12

x = 270

Hence,

SP = ₹324 and CP = ₹270