Question

During the que launch of a new book, the publisher give 30 copies of the book as complimentary copies to the VIPs who were present at the launch and sold the remaining a cast of 500 each. If the total collection on that day was 7,35,000 find the total number of books that were giv3n out on that day.​

Answer 1

Now, according to the question, it is given that:

During the launch of a new book, the publisher gave away 30 copies of the book as complimentary copies of the VIPs who were present at the launch.

The number of books given to the VIPs =30

Hence, the remaining books =(x−30)

Now, the publisher sold the remaining books at a cost of Rs500

each.

The cost price of all the remaining books =(x−30)×500

………………………(1)

The total collection on that day =Rs7,35,000

…………………………(2)

Hence, equating equation (1)

and (2)

, we get,

(x−30)×500=7,35,000

Dividing both sides by 500, we get

⇒(x−30)=7,35,000500

⇒(x−30)=1470

Adding 30 on both sides, we get

⇒x=1500

Therefore, the total number of books that were given as complimentary copies on that day were 1500. Out of this 1500 books, 1470 of those books were sold for Rs500

each and 30 were given away as free complimentary copies to the VIPs.

Hence, 1500 is the required answer.

Note:

The alternate way of solving this question is that we could have let the number of books sold on that day be x

Then it is given that each book is sold for Rs500

each and the total collection on that day was Rs7,35,000

Hence, making the linear equation in a similar manner, we will get,

x×500=7,35,000

Dividing both sides by 500,

⇒x=7,35,000500=1470

Now, number of complimentary copies given to the VIPs =30

Therefore,

The total number of books which were given as complimentary =1470+30=1500

Where, 1470 of those books were sold for Rs500

each and 30 were given away as free complimentary copies to the VIPs.

Hence, 1500 is the required answer.