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Question
A publisher gives his distributors a discount of 30% on the printed price of the books. The distributor sells those books to a book seller at 23% discount on the printed price and the book-seller sells these books at their printed price. Find the profit percent made by the distributor and the book-seller.
Solution
Let the printed price of the books = Rs.100
Discount given by publisher
= 30% of Rs.100
= `(30)/(100) xx 100`
= Rs.30
∴ Selling Price of publisher
= Printed price - Discount
= Rs.100 - Rs.30
=Rs.70
Cost price to distributor = Rs.70
Now, discount given by distributor
= 23% of Rs.100
= `(23)/(100) xx 100`
= Rs.23
∴ Selling Price of distributor
= Printed price - Discount
= Rs.100 - Rs.23
= Rs.77
Cost price of bookseller = Rs.77
S.P. of book seller = Rs.100
Profit made by bookseller
= S.P. - C.P.
= Rs. (100 - 77)
= Rs.23
Profit made by distributor
= S.P. - C.P.
= Rs. (77 - 70)
= Rs.7
Now, profit% made by distributor
= `"Profit"/"C.P." xx 100`
= `(7)/(70) xx 100`
= 10%
Profit % made by seller
= `"Profit"/"C.P." xx 100`
= `(23)/(77) xx 100`
= Rs.29.8%.
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