Question

A shopkeeper gives 20% discount on the printed price of a book. The customer gets 10% discount on
the already discounted price of the book. If the shopkeeper still makes 8% profit in the transaction, by
what percentage is the cost price of the book lesser than printed price?​

Answer 1

Answer:

Let the printer price of the book is Rs. X

So, after the first discount it becomes Rs. 0.8x

Now, in additional 10% discount on 0.8x makes the price

But this amount gives 8% profit to the shopkeeper

So, if the cost price is Rs. Y, selling price = Rs. 1.08y

And, 1.08y = 0.72x

Hence, the printed amount is 1.5 times the cost price i.e. 50% more than the cost price.

Answer 2

The percentage is the cost price of the book lesser than the printed price will be 50% or more

Let's say the book costs Rs. X to print.

As a result, after the initial discount, it is Rs. 0.8x.

The price is been reduced by an extra 10% to 0.8x.

However, the shopkeeper receives an 8% profit from this sum.

Consequently, if the selling price is Rs. 1.08y and the cost price is Rs. Y.

And, 1.08y = 0.72x

The printed amount is therefore 1.5 times the cost price, or 50% higher than the cost price.

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